Example

Graphing y=4xy = 4x Using Intercepts

To graph the equation y=4xy = 4x using the intercept method, first determine the intercepts. Finding the x-intercept and the y-intercept both result in the origin point (0,0)(0, 0). Since a straight line requires more than a single point to graph correctly, select two additional values for xx to generate more solution points. For example, substituting x=1x = 1 produces y=4(1)=4y = 4(1) = 4, resulting in the ordered pair (1,4)(1, 4). Substituting x=1x = -1 produces y=4(1)=4y = 4(-1) = -4, providing the ordered pair (1,4)(-1, -4). Plot the three coordinate points (0,0)(0, 0), (1,4)(1, 4), and (1,4)(-1, -4) on a Cartesian plane, confirm they fall on a uniform line, and connect them to finish the graph.

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Updated 2026-05-03

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