1Cademy - Graphing $$y = 5x$$ Using Intercepts

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Graphing a Line Using the Intercept Method

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Graphing $y = 5x$ Using Intercepts

To graph the equation $y = 5x$ using the intercept method, begin by calculating the intercepts. Setting $y = 0$ to find the x-intercept yields $0 = 5x$ , so $x = 0$ , resulting in the point $(0, 0)$ . Similarly, setting $x = 0$ to find the y-intercept yields $y = 5(0)$ , so $y = 0$ , which is also the point $(0, 0)$ . Since this line passes directly through the origin, both intercepts represent the identical point. Because a single point is insufficient to graph a line, select two additional values for $x$ to determine more points. For example, substituting $x = 1$ provides $y = 5(1) = 5$ , resulting in $(1, 5)$ . Substituting $x = -1$ provides $y = 5(-1) = -5$ , resulting in $(-1, -5)$ . Finally, plot the three points $(0, 0)$ , $(1, 5)$ , and $(-1, -5)$ , verify that they line up perfectly, and draw the line connecting them.

Updated 2026-05-03

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