# What are the intercepts of -8y+4x=9?

Jan 1, 2016

The intercepts are the points at which the function crosses the axis.

#### Explanation:

This means that, at such points, one of the coordinates of the intersection point, by definition, HAS to be zero. That is so because when a coordinate is zero, it means the point lies on the axis.

If $x = 0$, then $- 8 y + \cancel{4 \left(0\right)} = 9 \implies y = - \frac{9}{8}$

If $y = 0$, then $\cancel{- 8 \left(0\right)} + 4 x = 9 \implies x = \frac{9}{4}$

The intercepts are, then, A (0;-9/8) and B (9/4;0)

graph{-8y+4x=9 [-3.99, 3.987, -1.994, 1.994]}