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# Linear Intercepts

The intercepts of an equation are given by the points where the graph touches one of the axes. This occurs whenever $$y=0$$ or $$x = 0$$. For a given linear equation, we can find the intercepts very easily.

Considering $$y = 2x + 6$$, we have the following intercepts:

When $$x = 0$$, we have $$y = 2(0) + 6 = 6$$, so $$(0,6)$$ is the y-intercept.

When $$y = 0$$, we have $$0 = 2x + 6 \implies x = -3$$, so $$(-3,0)$$ is the x-intercept.

Note by Arron Kau
2 years, 11 months ago