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Graphing x=3x = -3 by Plotting Points

To graph the vertical line equation x=3x = -3, note that this equation has only one variable and states that xx is always 3-3, regardless of the value of yy. To graph this using the Point-Plotting Method, construct a table of values by filling in 3-3 for all the xx-coordinates. Because xx does not depend on yy, any number can be chosen for the yy-coordinates. For instance, selecting yy-values of 11, 22, and 33 yields the ordered pairs (3,1)(-3, 1), (3,2)(-3, 2), and (3,3)(-3, 3). Plotting these points on a rectangular coordinate system and connecting them with a straight line results in a vertical line that passes through the xx-axis at (3,0)(-3, 0).

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Updated 2026-04-23

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Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax

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