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How to graph x=-3? How to graph x=a?

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The graph of the function x=-3 is a vertical straight line parallel to the y-axis that passes through the point (-3,0). The graph of the function looks like,

Graph of the function x=-3
Graph of the line x=-3

The line meets the x-axis at the point (-3,0) and hence the x-intercept of the graph is -3. Since the line does not meet the y-axis it does not have a y-intercept. The graph is completely vertical which implies that the slope of the graph is infinity/undefined.

Graphing x=a:

The example seen above is a special case of a more general situation. Suppose that you want to draw the graph of the function x=a. Then the graph will similarly be a vertical line parallel to the y-axis and passing through the point (a,0). Let us look at a few more examples.

Graph x=-4

The graph of the function x=-4 looks like,

Graph of the function x=-4
Graph of the line x=-4

Graph x=-6

The graph of the function x=-6 looks like,

Graph of the function x=-6
Graph of the line x=-6

Graph x=0

This is nothing but the vertical line passing through the origin (0,0). It is in fact the y-axis of our graph,

Graph of the line x=0
Graph of the line x=0

How to graph x=7

In order to draw the graph of x=7, we locate the point (7,0) on the graph and draw a vertical line passing through it parallel to the y-axis.

Graph of the line x=7
Graph of the line x=7

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