Question

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

Answer 1

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 `-8y+cancel(4(0))=9 => y=-9/8`

If `y=0`, then `cancel(-8(0))+4x=9 => x=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]}