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How do you graph the line x = -5?

seo-qna
Last updated date: 22nd Sep 2024
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Answer
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Hint: In this question we are given an equation of line and we need to draw a graph for that line. For this we will try to find the coordinate of the point by taking some value of y and finding the value of x. Since there is y in the equation so we will get a value of x as -5 for each value of y. Using these points we will draw a line on the graph.

Complete step by step answer:
Here we are given the equation of line as x = -5.
We need to draw a graph for this equation. For drawing a graph for any line we need some coordinates that can be plotted on the graph. The points will then be joined to get the equation of line.
For finding coordinates of a point we take some value of y and find value of x to get the points of the form (x,y).
But here we can see that there is no y in the given equation of line. So we can observe that, if we put any value of y the value of x remains as -5. Hence all of the points will be in the form as (-5,y) where y can be any coordinate. To plot the graph let us consider some points to be plotted. Taking the value of y as 1 we get the point as (-5,1). Taking the value of y as 2 we get the point as (-5,2). Taking the value of y as -1 we get the point as (-5,-1). Taking the value of y as -2 we get the point as (-5,-2). Now let us plot the points (-5,1), (-5,2), (-5,-1), (-5,-2) on the graph and draw a line passing through these points. We will get the required line x = -5.
First let us draw x axis and y axis and mark the points. Then let us plot the points found and at last draw a straight line passing through these points. Our graph looks like this,
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Note: Students should carefully plot the points taking care of negative x axis and negative y axis. Make sure to mark X for positive x axis, X' for negative x axis, Y for positive y axis and Y' for negative y axis. Draw a line joining all these points with proper sharpened pencil.