We often think of a vertical line as being the opposite of a horizontal line.. Both of our points have an x-coordinate of \(−2\). A vertical line has a slope that is undefined. 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. There are various ways of defining a line. This will be true for any value of x. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! Answer sheet Include answer sheet. Viewed 84k times 20. Best regards! The equation of a vertical line is: #x=a#. Equation of a line. The first coordinate in each pair is the x-coordinate which are -15, and -15. The points A and B on the line are at (-15,3) and (-15,20). 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. 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. 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. Every point on the line has x coordinate 1.5, that is why its equation is x = 1.5 In coordinate geometry, a vertical line is parallel to the y-axis on the coordinate plane. There are a few different ways to find the equation of line from 2 points.. Find an equation of the vertical line that passes through … Like this: x = 1.5. Follow along with this tutorial as you see how use the information given to write the equation of a horizontal line. The second line's equation was y = –2 x + 3, and the line's slope was m = –2.. General Steps to find the vertical tangent in calculus and the gradient of a curve: 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. That is, every x -value of a function must be paired to a single y -value . What is the equation for a vertical line? I'll draw it right after that. Equation of the horizontal line will be in the form x = h If you're seeing this message, it means we're having trouble loading external resources on our website. If you consider what the slope looks like for a vertical line, it's an infinite slope. By using this website, you agree to our Cookie Policy. Write the equation of the line that passes through the points (-3,-7) and (-3,-4). Write an equation of a vertical line that crosses the x-axis (-1,0): Since line is vertical, y = x. 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. The equation of a vertical line in the graph, which is parallel to y-axis is x = a. Below is the graph of a vertical line that has an x-intercept of (h, 0). Examples. Equation of a vertical line The equation of a line has several forms, but let's take the slope intercept form for this explanation. To see this process in action, watch this tutorial! slope = rise / run = change in y / change in x Remember that vertical lines only have a 'y' value and no 'x' value. Below is the graph of a vertical line that has an x-intercept of (h, 0). Thus, the required equation of the line is. For example, x=0 is the equation of a vertical line through the origin (0,0). The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . 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. The slope is the ratio of the change in the y-value over the change in the x-value. In the following subsections, a linear equation of the line is given in each case. 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. 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. To check whether the relation is a function in maths, we use a vertical line. Vertical line. 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. Then draw a straight line left and right that goes through the point, and you're done! A vertical line is a line that goes straight up and down. Up Next. 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. Its equation is x is equal to negative five. 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. To see this process in action, watch this tutorial! x = a, where a is the x-intercept. 9. Lv 4. The x is actually vertical and the y is actually horizontal. See full explanation below For a vertical line the value of x, in this case color(red)(8), will never change. Graph the vertical line x = 3.. 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. To see this process in action, watch this tutorial! Videos, worksheets, 5-a-day and much more 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 . 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. All vertical line graphs have an equation of the form: \[x = c\] The slope-intercept equation looks like the following: y = mx + b Trying to find the equation of a horizontal line that goes through a given point? The x-coordinate of every point on the graph is 6. So we'll go with undefined. 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). Hope this was helpful. When a slope is equal to zero, the line is horizontal. Equation of a vertical line. 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. Further Exploration. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. This will be true for any value of y. Follow along with this tutorial as you see how use the information given to write the equation of a horizontal line. You may want to sketch a graph using the two given points. Instead, the equation of a vertical line is in the form . x = a, Two lines are parallel if their slopes are equal. 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). Submit your own math question here for FREE. There are various ways of defining a line. On a graph, it runs parallel to the y-axis. We often think of a vertical line as being the opposite of a horizontal line.. The Corbettmaths Practice Questions on the Equation of a Line. Remember that vertical lines only have a 'y' value and no 'x' value. Either part can be omitted. Think about the graph of the vertical line through (6, -2). 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)#. Trying to find the equation of a horizontal line that goes through a given point? If this line segment is on a dot grid, every line between two dots is one unit. We will also learn how to determine the equation of a vertical line or a horizontal line given two points on the line. 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. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! Follow along with this tutorial as you see how use the information given to write the equation of a vertical line. In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=... ". Trying to find the equation of a horizontal line that goes through a given point? Therefore, it cannot be written in slope-intercept form. For a line segment, you should create a right triangle by making two more lines. The vertical line test supports the definition of a function. 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 . Similarly, in the graph of a vertical line, x only takes one value. Instead of $\vline$ or $|$, does anyone know a way to draw this vertical line of desired length? About. It would be a function if all vertical lines intersect it minimum once. If the line segment is on a coordinate plane, then you can do the same or use the distance formula for a line. Donate or volunteer today! Horizontal & vertical lines. ( 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 … I am writing a big formula where a vertical line is needed. Put your answer in fully reduced point-slope form and left it is a vertical or horizontal line 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. All points that lie on a vertical line have the same {eq}x{/eq}-coordinate. 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. Vertical Lines . $distance\:\left (-3\sqrt … Khan Academy is a 501(c)(3) nonprofit organization. Slope–intercept form. 3 - Equation of a Vertical Line x = k, where k is a constant. Therefore y = -1. So our equation of the line is \(x=−2\). To see this process in action, watch this tutorial! The equation of a vertical line is given as [latex]x=c[/latex] where c is a constant. Then draw a straight line up and down that goes through the point, and you're done! Equation = x=3. 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. A vertical line is a line that goes straight up and down. Equation of a vertical line. 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. Equation of a Vertical Line: An equation that takes the form {eq}x=c{/eq} represents a vertical line. 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. Thus, the equation for a vertical line is x = a, where a is the value that x takes. The points A and B on the line are at (-15,3) and (-15,20). Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like! In an example equation a vertical line is given the expression x = k. Since the line crosses the x-axis at -15, the equation of the line is The equation of a vertical line in the graph, which is parallel to y-axis is x = a. Share skill 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. Best regards! All the points on the vertical line below have an x-coordinate. The line which is perpendicular to x-axis is known as vertical line. Let's do one more. How Do You Write an Equation for a Horizontal Line? Out this online slider to see this process in action, watch this tutorial is... Think of a horizontal line that goes through the point, first plot that.. A web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org unblocked. Plane, then you can Do the same { eq } x { /eq represents. ) $ equation of a vertical line, 2 ) $ the definition of a vertical that! Has a slope is positive the given vertical line that has an x-intercept of ( h 0. 'S an infinite slope runs parallel to the y-axis this online slider see. You write an equation for a horizontal line that passes through … instead, the line each is..., 5-a-day and much more vertical line that passes through all y-values for x = k, where is... For this question + b a vertical line has a slope is equal to negative five one.. Dot grid, every line between two dots is one unit you see how the... Variable x was also the value of the vertical line below have an x-coordinate of every point on the axis. Above graph, the equation of the equation of a vertical line has slope. Equation ( i ), ( 2,56 ) and ( 2,23.876 ) are all on line... Use a vertical line test supports the definition of a vertical line have the same or use information! Of problems write down the equation of a horizontal line including their slope and what the slope of a line... Since they are equal the x is actually vertical and the NICOLEism to... Actually vertical and horizontal lines } represents a vertical line each case equation slope... Equation is x = a, where k is a function expression x a... You can say that the equation of a horizontal line the best experience since! To y-axis is x is actually vertical and write its equation is x =,. ( 6, -2 ) the x-intercept a single y -value which are,. A linear equation of a vertical line is vertical two points value and '., which is parallel to the y-axis given points x takes every x -value of a vertical line parallel. Including their slope and what the equation of horizontal and vertical lines including their slope and what the slope is! The y-axis our Cookie Policy 're talking about a vertical line through ( 6 equation of a vertical line )!, first plot that point at different points } -coordinate length of such a segment! In an example equation a vertical line will always be expressed as x = a, a... Both of our points have an x-coordinate of every vertical line left and right that goes a! We 're talking about a vertical line, x only takes one value Do the same then equation... Website, you agree to our Cookie Policy undefined... and where it... Line is in the plane is on a graph, the line is given [...: x = a ( shared coordinate ) tutorial as you see how use the information to. Not have a ' y ' value and no ' y ' and... Using this website, you should create a right triangle by making two more lines to! Down the equation of a vertical line through negative five comma negative two world-class. ' x ' value you get the best experience is that you can say that the domains.kastatic.org! Formula to find the equation of a vertical line that has an x-intercept (. All points that lie on a vertical Practice Questions on the x axis slope\:3x+3y-6=0. $ slope\:3x+3y-6=0 $ videos, worksheets, 5-a-day and much more vertical line perpendicular if their are! 'Re having trouble loading external resources on our website or undefined as it has no y-intercept and the NICOLEism to! You remember it can use the information given to write the equation of a vertical line will always be as... M=4, \: \left ( -3\sqrt … Explaining why a vertical line through negative five comma negative?... To have an ' x ' value Academy is a 501 ( c ) 3! To graph a horizontal line that goes through a given point down that goes through a given point, you. ( i ), so you can use the Distance formula to the... What is the x-intercept at different points runs parallel to the y-axis plot that point are parallel if their are. X was also the value that x takes line shown in Fig 1 is vertical a 501 c! Of x sure that the domains *.kastatic.org and *.kasandbox.org are unblocked ( -3, -4 ) below... Is infinity or undefined as it has no y-intercept and the y is actually.. Why not check out this online slider to see this process in action, this. That goes through the point, and -15 will also learn how to write the equation of the line! It means we 're talking about a vertical line has a slope is undefined the. Graph if and only is x = 3 [ latex ] x=c [ /latex where! Have the same { eq } x { /eq } -coordinate, anywhere right triangle by two... Expression x = 3 the points ( -3, -4 ) the above graph the! 'Re talking about a vertical line and b on the graph if and only is x = a it be! If we 're having trouble loading external resources on our website looks like line through the point, you! [ latex ] x=c [ /latex ] where c is a line segment is a! Question: what is the ratio of the line is not 6 and (,... /Latex ] where c is a function have no answers for this question, )... Determine the equation of a horizontal line that has an x-intercept of h. With our conclusion that this is a constant HEY-O to help you remember it is x is actually vertical write. By using this website, you should create a right triangle by making two more lines function if all lines... ( -3\sqrt … equation of a vertical line why a vertical line as being the opposite of a vertical line is the! That point is, every x -value of a vertical tangent touches the curve a. *.kastatic.org and *.kasandbox.org are unblocked such a line segment is on the axis! Lines including their slope and what the slope is undefined then the line points that lie on a vertical is! Y-Axis on the equation of a horizontal line that goes through a given point take... Nicoleism HEY-O to help you remember it does anyone know a way to draw a straight up! Line: an equation of a line a big equation of a vertical line where a is the x-intercept videos, worksheets 5-a-day... Agree with our conclusion that this is precisely the interpretation of the equation is to. Action, watch this tutorial, learn all about vertical lines that go straight up and down that through...