Question

How do you graph the line x = -9?

Answer 1

Hint: In this question, we are given an equation of line as x = -9 and we need to draw the graph for this equation. For this we will first find coordinates of points which when plotted on graph gives us the required line (passing through points). There is no value of y so any value of y will give a point as (-9,y). We will take some values of y and draw these points. After that we will join these points to get the required equation of line.

Complete step by step answer:
Here the equation of line is given as -9. We need to draw this line on the graph. For this, we need some points lying on the line so that they can be plotted on a graph and joining them will give us the equation of line. For finding coordinates of points we need to put values of one variable and get the other variable.
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 -9. Hence all the points will be in the form as (-9,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 (-9,1). Taking the value of y as 2 we get the point as (-9,2). Taking the value of y as -1 we get the point as (-9,-1). Taking the value of y as -2 we get the point as (-9,-2). Now let us plot the points (-9,1), (-9,2), (-9,-1), (-9,-2) on the graph and draw a line passing through these points. We will get the required line x = -9.
Now let us draw the axis on the graph and plot these points. After that, let us join the points to get the required equation of line.
The graph looks like this,

Note: Students should take care of the signs while plotting the points i.e. take care of negative and positive axis. Mark the axis properly. Mark X for positive x axis, X' for negative x axis, Y for positive y axis and Y' for negative y axis. Mark O as the origin where both axes intersect.