Question

What are the intercepts of `-y=6(x+8)`?

Answer 1

x-intercept =`color(green)( -8`
y-intercept = `color(green)(-48`

Explanation:

graph{y = -6(x+8) [-65.9, 65.73, -52.5, 16.1]}

An intercept is where a line crosses an axis.

First you multiply both sides by `-1` so `y = -6(x+8)`.

Next set `y = 0` to find the x-intercept .
`0 = -6(x+8)`

distribute `-6`
0 = -6x-48

and solve for x
`48 = -6x`
`color(green)(x = -8`

To find the y-intercept , set `x = 0` and solve.

`y = 6(0)-48`
`color(green)(y = -48`