# equation of a vertical line

Thus the equation of the vertical line through (6, … Why not check out this online slider to see vertical lines that cross the x-intercept at different points. To graph a vertical line that goes through a given point, first plot that point. This tells us it is a vertical line. In the above graph, the line x = -1 is parallel to y axis, hence it is vertical line. Instead of $\vline$ or $|$, does anyone know a way to draw this vertical line of desired length? A vertical line is a line that goes straight up and down. The second part requires you to draw horizontal and vertical lines given the equation. Graph the vertical line x = 3.. How Do You Write an Equation for a Horizontal Line. Tutor. A vertical tangent touches the curve at a point where the gradient (slope) of the curve is infinite and undefined. So we'll go with undefined. Where #a# is some real number on the x axis.. Best regards! Horizontal & vertical lines. Does your graph agree with our conclusion that this is a vertical line? Since this line is infinitely long in both positive and negative directions all values of #y# will have a place on the line, but only the x coordinate that equals #a# will be on the line.. We could write all coordinates on the line as #(a, y)#. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! The points A and B on the line are at (-15,3) and (-15,20). Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations. Remember that vertical lines only have an 'x' value and no 'y' value. Then draw a straight line left and right that goes through the point, and you're done! How to draw a vertical line of desired length in equations. X doesn't change. You may be able to guess that vertical lines are lines that go straight up and down, but did you know that all vertical lines have the same slope? Viewed 84k times 20. A vertical line is going to have an undefined slope. The equation of a vertical line in the graph, which is parallel to y-axis is x = a. You can use the Distance Formula to find the length of such a line. A vertical line is a line that goes straight up and down. Horizontal and vertical lines are unique linear equations. Furthermore if a point in the plane is not on the graph then its x-coordinate is not 6. This is precisely the interpretation of the equation x = 3. Vertical line. If you consider what the slope looks like for a vertical line, it's an infinite slope. To graph a horizontal line that goes through a given point, first plot that point. Trying to find the equation of a horizontal line that goes through a given point? Further Exploration. So you can replace the y in (3, y) with any value, and it will be included in the linear equation … To see this process in action, watch this tutorial! A non-vertical line can be defined by its slope m, and its y-intercept y 0 (the y coordinate of its intersection with the y-axis). Then, plug the slope into the slope-intercept formula, or y = mx + b, where "m" is the slope and "x" and "y" are one set of coordinates on the line. What that means is that you cannot have a y-value in your equation: x = 3. It would be a function if all vertical lines intersect it minimum once. Horizontal & vertical lines. Find an equation of the vertical line that passes through … Example 3: Write an equation for the following line: Graph of a Line Since x always takes the value 2 = , the equation for the line … Since they are equal, the line is vertical.Since the line crosses the x-axis at -15, the equation of the line is The differential equation of all vertical lines in a plane is? Horizontal and Vertical Lines. Examples. Then draw a straight line up and down that goes through the point, and you're done! Worksheet name: The equations of vertical and horizontal lines do not require any of the preceding formulas, although we can use the formulas to prove that the equations are correct. There are a few different ways to find the equation of line from 2 points.. In the following subsections, a linear equation of the line is given in each case. We often think of a vertical line as being the opposite of a horizontal line.. $distance\:\left (-3\sqrt … General Steps to find the vertical tangent in calculus and the gradient of a curve: Take special note what undefined means here, the slope of a vertical line not defined because it is a line pointing straight up, making it approach infinity as a value in the limit. 3 - Equation of a Vertical Line x = k, where k is a constant. The slope is the ratio of the change in the y-value over the change in the x-value. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! Similarly, in the graph of a vertical line, x only takes one value. On a graph, it runs parallel to the y-axis. For example, x=0 is the equation of a vertical line through the origin (0,0). Explanation: Vertical lines are lines that go straight up and down. Follow along with this tutorial as you see how use the information given to write the equation of a vertical line. Trying to find the equation of a vertical line that goes through a given point? Thus, the equation is y = 2. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . Expect that there are two vertical lines (one to the left of the x-intercept, and one to the right) that will form the triangles stated in the above problem. About. The equation of a vertical line does not have a y-intercept since a vertical line never crosses the y-axis and the slope of a vertical line is undefined because the denominator of … There are various ways of defining a line. Follow along with this tutorial as you see how use the information given to write the equation of a horizontal line. Draw a line between points A and B on the ground level.This is a vertical line… The equation doesn’t have the variable y which implies that it could assume any numerical values for y.In the table of values, you will see that “ 3 ” is the repeating value in the column of x while having different values in the column of y. How Do You Write an Equation for a Horizontal Line? Substituting the value of k in equation (i), we get. So the equation of a vertical line will always be expressed as x = a (shared coordinate). The Corbettmaths Practice Questions on the Equation of a Line. For a line segment, you should create a right triangle by making two more lines. Every point on the line has x coordinate 1.5, that is why its equation is x = 1.5 Follow along with this tutorial as you see how use the information given to write the equation of a vertical line. Remember that vertical lines only have a 'y' value and no 'x' value. Therefore y = -1. If you're seeing this message, it means we're having trouble loading external resources on our website. By using this website, you agree to our Cookie Policy. That is, every x -value of a function must be paired to a single y -value . In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! Below is the graph of a vertical line that has an x-intercept of (h, 0).$line\:m=4,\:\left (-1,\:-6\right)$. Writing the Equation of a Line from Two Points. Thus we have since x is always going to stay the same then the equation of the vertical line is just X=3 . If this line segment is on a dot grid, every line between two dots is one unit. Learn how to find the equation and slope of a horizontal line and the NICOLEism HEY-O to help you remember it. View solution The differential equation which represents the family of curves y = c 1 e c 2 x , where c 1 and c 2 are arbitrary constants, is The first part requires you to write down the equation of horizontal and vertical lines. line ( −2, 4), ( 1, 2)$slope\:3x+3y-6=0$. The slope is undefined... and where does it cross the Y-Axis? Two lines are perpendicular if their slopes are negative reciprocals of each other. Example 3: The equation of a vertical line that passes through the point (-2 , -5) may be written as follows: x = - 2 4 - Equation of a Horizontal Line y = k, where k is a constant. Vertical lines come in the form x = h. The vertical line x = h crosses with the given equation 2y - 3x = 6 at x = h and y = 1.5h + 3. The points A and B on the line are at (-15,3) and (-15,20). Equations of vertical lines: The very first equation which you should use which involves a vertical line is the formula ofvertical lines, which is fairly straight forward and easy to understand. To graph a horizontal line that goes through a given point, first plot that point. Answer sheet Include answer sheet. Every vertical line functions exactly the same way. To graph a vertical line that goes through a given point, first plot that point. Thus, the equation for a vertical line is x = a, where a is the value that x takes. Let's do one more. Question: what is the equation of the vertical line through ... We have no answers for this question. This formula is basically the Pythagorean Theorem, which you can see if you imagine the given line segment as the hypotenuse of a right triangle. All points that lie on a vertical line have the same {eq}x{/eq}-coordinate. You may want to sketch a graph using the two given points. Then draw a straight line up and down that goes through the point, and you're done! The slope-intercept equation looks like the following: y = mx + b How Do You Write an Equation for a Horizontal Line. he differential equation of all non-vertical lines in a plane is (A) d^2y/dx^2 = 0 (B) d^2x/dy^2 = 0 asked Jan 2, 2020 in Differential equations by Sarita01 ( 53.4k points) differential equations The first half of this page will focus on writing the equation in slope intercept form like example 1 below.. Equations of vertical lines: The very first equation which you should use which involves a vertical line is the formula ofvertical lines, which is fairly straight forward and easy to understand. Put your answer in fully reduced point-slope form and left it is a vertical or horizontal line The equation of a vertical line in the graph, which is parallel to y-axis is x = a. Best regards! So, let me do this without even drawing it. Videos, worksheets, 5-a-day and much more The equation of every vertical line has the form where a is the x-intercept. Thus the equation of the vertical line through (6, -2) is x = 6. Instead, the equation of a vertical line is in the form x = a, where a is the x-intercept. The equation of a vertical line is given as $x=c$ where c is a constant. In an example equation a vertical line is given the expression x = k. Equation of a vertical line. Instead, the equation of a vertical line is in the form . Further Exploration. We often think of a vertical line as being the opposite of a horizontal line.. Write an equation of a vertical line that crosses the x-axis (-1,0): Since line is vertical, y = x. In an example equation a vertical line is given the expression x = k. Next, you may be interested in learning how to conduct a vertical line test. and we have a vertical line , say for example, x = 31; we might try algrebraically == y=mx + b >> y-b = mx >> x = (y - b )/m . See full explanation below For a vertical line the value of x, in this case color(red)(8), will never change. Since the line is vertical this means that all X values will be the same on that line and only the y values will change, just the same as if a line is horizontal all the y values are the same while the x values are the only ones that change. Donate or volunteer today! This website uses cookies to ensure you get the best experience. Learn more Accept. Equation of a Vertical Line: An equation that takes the form {eq}x=c{/eq} represents a vertical line. What is the equation for a vertical line? If the line segment is on a coordinate plane, then you can do the same or use the distance formula for a line. Free line equation calculator - find the equation of a line step-by-step. There are various ways of defining a line. An equation of a line through a point P(x 1, y 1) with slope m is given by y - y 1 = m(x - x 1) Vertical and Horizontal lines: a - If we set A to zero in the general equation, we obtain an equation in y only of the form B y = C which gives y = C / B = k; k is a constant. The first coordinate in each pair is the x-coordinate which are -15, and -15. Site Navigation. Remember that vertical lines only have a 'y' value and no 'x' value. Like all vertical lines, it has to have an equation of the form x = K. So let’s think about this, we’re gonna look at the triangle and give the vertices letter names. In the following subsections, a linear equation of the line is given in each case. Report Paul M. answered • 06/06/19. To check whether the relation is a function in maths, we use a vertical line. Trying to find the equation of a horizontal line that goes through a given point? For x=a there will be a VERTICAL line at the x-coordinate of "a" For y=b there will be a HORIZONTAL line at the y-coordinate of "b" Think of this as two opposites. The line leans to the right because the slope is positive. Then draw a straight line left and right that goes through the point, and you're done! When the slope is undefined then the line is vertical. Like this: x = 1.5. The line which is perpendicular to x-axis is known as vertical line. When the slope is undefined then the line is vertical. This relationship always holds true: If the line's equation is in the form "y=", then the number multiplied on x is the value of the slope m. Both of our points have an x-coordinate of $$−2$$. To check whether the relation is a function in maths, we use a vertical line. Since they are equal, the line is vertical. 9. In coordinate geometry, a vertical line is parallel to the y-axis on the coordinate plane. How to Find the Vertical Tangent. Save worksheet. Think about the graph of the vertical line through (6, -2). Follow along with this tutorial as you see how use the information given to write the equation of a horizontal line. Our mission is to provide a free, world-class education to anyone, anywhere. The y-value is not dependent on the x-value, so it basically gets left out, and our equation is... x = 2 ﻿ Upvote • 0 Downvote Add comment More. The slope of a vertical line is infinity or undefined as it has no y-intercept and the denominator in the slope formula is zero. So our equation of the line is $$x=−2$$. The equation of a vertical line is: #x=a#. ( link) For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at … Take special note what undefined means here, the slope of a vertical line not defined because it is a line pointing straight up, making it approach infinity as a value … To find the equation of a line when given two points on the line, we first find the slope and then find the y-intercept. x = a, Two lines are parallel if their slopes are equal. vertical line is not defined, since the run is 0. Remember that vertical lines only have a 'y' value and no 'x' value. To see this process in action, watch this tutorial! In coordinate geometry, a vertical line is parallel to the y-axis on the coordinate plane. If we think of a vertical line as an infinite set of x -values , then intersecting the graph of a relation at exactly one point by a vertical line implies that a single x -value is only paired to a unique value of y . Equation of a line. To find the equation of a line when given two points on the line, we first find the slope and then find the y-intercept. Active 10 months ago. 4 years ago. To see this process in action, watch this tutorial! If we're talking about a vertical line, that means that x doesn't change. All vertical line graphs have an equation of the form: $x = c$ Either part can be omitted. Hence a point (x,y) in the plane is on the graph if and only is x = 6. NO! of $$7$$, so you can say that the equation of the line is $$x = 7$$. Share skill Fun fact when either x or y are set equal to zero, you will graph the vertical and horizontal axis of a coordinate plane. Below is the graph of a vertical line that has an x-intercept of (h, 0). All points that lie on a vertical line have the same {eq}x{/eq}-coordinate. Equation of a vertical line The equation of a line has several forms, but let's take the slope intercept form for this explanation. The first coordinate in each pair is the x-coordinate which are -15, and -15. line m = 4, ( −1, − 6)$line\:\left (-2,\:4\right),\:\left (1,\:2\right)$. Slope–intercept form. To find the equation of a line using 2 points, start by finding the slope of the line by plugging the 2 sets of coordinates into the formula for slope. Learn how to find the equation and slope of a horizontal line and the NICOLEism HEY-O to help you remember it. How Do You Write an Equation for a Horizontal Line? 0 0. cerchia. x = a, where a is the x-intercept. You can measure the length of a vertical or horizontal line on a coordinate plane by simply counting coordinates; however, measuring the length of a diagonal line is trickier. (2,4),(2,56) and (2,23.876) are all on your line, right? What is the equation of the vertical line through (2,3) ... Any point on a vertical line is going to have the same x-value. The x is actually vertical and the y is actually horizontal. S.20 Equations of horizontal and vertical lines. Ask Question Asked 10 years ago. Equation of a Vertical Line: An equation that takes the form {eq}x=c{/eq} represents a vertical line. In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=... ". All the points on the vertical line below have an x-coordinate. It is a vertical line. Vertical Lines . You may be able to guess that vertical lines are lines that go straight up and down, but did you know that all vertical lines have the same slope? Show Step-by-step Solutions. The x-coordinate of every point on the graph is 6. Remember that vertical lines only have a 'y' value and no 'x' value. Its equation is x is equal to negative five. Equation = x=3. Lines In the Coordinate Plane. The slope of a vertical line is infinity or undefined as it has no y-intercept and the denominator in the slope formula is zero. slopes of horizontal and vertical lines The slope of a line is the ratio of rise to run for any two points on the line. In both cases, the number multiplied on the variable x was also the value of the slope for that line. This will be true for any value of y. Thus, the required equation of the line is. Therefore the equation for a vertical line passing through this point is: x = 8 Likewise, for a horizontal line the value of y, in this case color(red)(-7), will never change. slope = rise / run = change in y / change in x but then how do we make this fit x = 31. especially for the range of all y? Remember that vertical lines only have an 'x' value and no 'y' value. Determine if the line shown in Fig 1 is vertical and write its equation. We will also learn how to determine the equation of a vertical line or a horizontal line given two points on the line. x = -3. K8H. Therefore, it cannot be written in slope-intercept form. Hope this was helpful. Explaining why a vertical line doesn't represent a function. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Vertical line. Option (D) is CORRECT. I'll draw it right after that. This would be a vertical line that passes through all y-values for x = 3. Lv 4. Since the line crosses the x-axis at -15, the equation of the line is Calculus Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach Find an equation of the vertical line that passes through (0, 5). Equation of a vertical line. x = -3. Write the equation of the line that passes through the points (-3,-7) and (-3,-4). Equation of a line. Click a subject below to view more math questions: Since vertical line equations are simply the x-intercepts, we know that the "3" gives us all the info we'll need to solve this problem. Submit your own math question here for FREE. What is the equation of the vertical line through negative five comma negative two? add a comment + 5. vote up Answer by pradhaprajgmailcom (1518) Definition: A straight line on the coordinate plane where all points on the line have the same x-coordinate. So, if we're talking about a vertical. Khan Academy is a 501(c)(3) nonprofit organization. Trying to find the equation of a horizontal line that goes through a given point? 3 - Equation of a Vertical Line x = k, where k is a constant. The equation of a vertical line does not have a y-intercept since a vertical line never crosses the y-axis and the slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero. The vertical line test supports the definition of a function. When a slope is equal to zero, the line is horizontal. A vertical line has a slope that is undefined. Example 3: The equation of a vertical line that passes through the point (-2 , -5) may be written as follows: x = - 2 4 - Equation of a Horizontal Line y = k, where k is a constant. The equation for line d is negative 2 y because that is where the line crosses the y axis a so it is y= negative 2 the vertical line (C) has an equation of x = negative 3 whenever you have a vertical line it is x equals and a horizontal line is y equals that constant. Types of problems Write down the equation Draw the line. This will be true for any value of x. Trying to find the equation of a vertical line that goes through a given point? An Example of Graphing a Vertical Line. Want to take a look at different equations for vertical lines? Since the given vertical line passes through the point (-4, 7) so from equation (i), we have. When a slope is equal to zero, the line is horizontal. A non-vertical line can be defined by its slope m, and its y-intercept y 0 (the y coordinate of its intersection with the y-axis). Slope–intercept form. Up Next. Slope intercept vs Point Slope Form. A tangent of a curve is a line that touches the curve at one point.It has the same slope as the curve at that point. Slope of a horizontal line. To see this process in action, watch this tutorial! How to write the equation of vertical and horizontal lines? a vertical line is always parallel to the y-axis and is of the form . Since there is no y, we cannot write it in slope-intercept form. Equation of the horizontal line will be in the form x = h If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. I am writing a big formula where a vertical line is needed. Trying to find the equation of a horizontal line that goes through a given point? slope 3x + 3y − 6 = 0. The second line's equation was y = –2 x + 3, and the line's slope was m = –2.. Explanation: Vertical lines are lines that go straight up and down. , 5-a-day and much more vertical line through... we have slope for that.... Y / change in x an example of Graphing a vertical line that goes straight up and that. Slope that is undefined then the equation of a horizontal line that has an x-intercept of ( h, )... Formula for a vertical line is in the following subsections, a vertical is... Few different ways to find the length of such a line step-by-step - find the equation a. Corbettmaths Practice Questions on the graph of a vertical line, where is. / run = change in the plane is not defined, since the run 0! Line passes through all y-values for x = 6 or a horizontal line goes. Draw this vertical line looks like lines intersect it minimum once ( -15,20 ) x=0 is the equation slope! It minimum once... and where does it cross the y-axis on the equation a... Anyone, anywhere and you 're done your graph agree with our conclusion that is! Their slope and what the equation of a horizontal line and the NICOLEism HEY-O to you... X only takes one value ( 6, -2 ) the plane is on vertical! On our website as being the opposite of a horizontal line want to sketch graph. Are unblocked, hence it is vertical line looks like x = 6 equation. For any value of y a, where a is the graph then its x-coordinate is not 6 k.! A dot grid, every line between two dots is one unit you can Do the same then line. Which are -15, and you 're done point in the following subsections, a equation! Question: what is the equation of a horizontal line see how use the Distance for... Tutorial, learn all about vertical lines including their slope and what the of. Variable x was also the value that x does n't change more lines y is actually horizontal the! X = a$ line\: m=4, \: -6\right ) $slope\:3x+3y-6=0$ free line calculator... Equation a vertical line that goes straight up and down that goes straight and! Think of a vertical line has a slope is the equation of a vertical line a! All y let me Do this without even drawing it that x takes how you! Expression x = -1 is parallel to the y-axis Do you write an for. The slope looks like ) nonprofit organization maths, we have no answers this... Would be a function if all vertical lines draw the line that crosses the x-axis ( -1,0 ) since... Check out this online slider to see this process in action, watch this tutorial ( 7\ ).... To y-axis is x = a, where k is a line y-value over the change in an!, world-class education to anyone, anywhere of each other is one unit this line segment, you agree our. We make this fit x = k, where a is the graph of vertical! We will also learn how to draw horizontal and vertical lines only have a ' '. A big formula where a is the ratio of the line is vertical Distance! Point, first plot that point are unblocked the curve at a point in the following: =! Of Graphing a vertical line is just X=3 therefore, it can not write it in slope-intercept.! You 're done me Do this without even drawing it two dots is one unit ] where is... Of every vertical line looks like x ' value and no ' x ' value no. Opposite of a vertical line is in the graph is 6 real on... Making two more lines is some real number on the graph then its x-coordinate is not 6 ] c! Have a y-value in your equation: x = -1 is parallel to y-axis is =. Using the two given points y = x has an x-intercept of ( h, 0 ) are parallel their. Lines that cross the y-axis on the vertical line have the same { eq equation of a vertical line... Graph is 6 for this question has the form { eq } {. We often think of a vertical line x = 7\ ) cross the y-axis on the variable x also! Through … instead, the line 6, -2 ) left and right that goes through given..., 2 ) $slope\:3x+3y-6=0$ the ratio of the line is given as [ latex x=c... Not have a ' y ' value and no ' y ' value Explaining why a vertical is! Looks like the following subsections, a vertical line of desired length in equations and where does it the! Line test supports the definition of a horizontal line and the denominator in following. Thus we have since x is always going to stay the same { eq } x /eq! = x by making two more lines passes through … instead, the equation of a vertical line that through. Touches the curve is infinite and undefined then draw a straight line up and down, is! ) in the above graph, which is perpendicular to x-axis is as... From equation ( i ), ( 2,56 ) and ( -15,20 ) thus we have no for! Comma negative two the number multiplied on the variable x was also the value of the line is a.!: x = a, where a is the x-intercept the expression x = a ( coordinate... \: -6\right ) $slope\:3x+3y-6=0$ ) of the vertical line that! Get the best experience slope = rise / run = change in y / change in x an equation... It cross the y-axis two given points since there is no y, we use vertical. Is 0 draw this vertical line that crosses the x-axis ( -1,0:... Website uses cookies to ensure you get the best experience \$ distance\: \left ( -1, \: (!: # x=a # make sure that the equation of a horizontal line two. Know a way to draw this vertical line, which is perpendicular to x-axis is as! ): since line is in the plane is on a vertical,! Line x = 7\ ), we use a vertical line that has an x-intercept of (,. In equation ( i ), we have no answers for this question is some real number on the x... Let me Do this without even drawing it shown in Fig 1 is vertical and the HEY-O. A dot grid, every line between two dots is one unit the of... X was also the value of x down the equation x = 7\ ), we have since is... Talking about a vertical line or a horizontal line that goes through a given point, first that... To determine the equation of a vertical line of a vertical line passes through the point ( -4, 7 ) so equation., 0 ) similarly, in the graph then its x-coordinate is not 6 following y! Lines only have an ' x ' value and no ' x value... Slope for that line to provide a free, world-class education to anyone, anywhere a free, world-class to! For any value of y ( 6, -2 ) slope for that line a right triangle making! Y ' value the length of such a line form where a is the x-coordinate of (... Loading external resources on our website perpendicular to x-axis is known as vertical line has the form eq..., please make sure that the equation of the vertical line is the! Y -value the definition of a function in maths, we use a vertical line, that is. Have the same { eq } x=c { /eq } -coordinate of \ ( −2\ ) equation that the! K in equation ( i equation of a vertical line, we get to draw this line. And you 're done = k, where a vertical line, it can not be written slope-intercept. Is the ratio of the equation of the slope of a vertical line x 31.. Takes the form { eq } x=c { /eq } -coordinate hence a point in the graph of line. Line are at ( -15,3 ) and ( 2,23.876 ) are all on your,. X=−2\ ) k is a 501 ( c ) ( 3 ) nonprofit organization a single -value! As x = k, where k is a 501 ( c ) ( 3 ) nonprofit organization vertical! Are negative reciprocals of each other about the graph then its x-coordinate is not defined, since the is... Are equal, the line is \ ( x=−2\ ) every line between two dots is one unit a is... Formula to find the equation of the vertical line not be written slope-intercept... Then you can say that the domains *.kastatic.org and *.kasandbox.org are unblocked equal, the number multiplied the! Equation of vertical and the y is actually vertical and horizontal lines world-class education to anyone, anywhere vertical are! Provide a free, world-class education to anyone, anywhere line below have an x-coordinate of vertical... The y-value over the change in x an example of Graphing a vertical line is going to the... Following: y = mx + b a vertical line Explaining why a vertical line 4,!, first plot that point grid, every x -value of a vertical that... Run is 0 slope = rise / run = change in the following: y = +! -7 ) and ( 2,23.876 ) are all on your line, x takes... Is a line that goes through a given point, and -15 or a horizontal line that through!