Question

What are the intercepts of : `8y= - 2x - 9`?

Answer 1

`x` intercept: `(-9/2, 0)`
`y` intercept: `(0, -9/8)`

Explanation:

`x` intercepts where `y=0`
Therefore, substitute `y=0` and solve for `x`.

`0=-2x-9`
`9=-2x`
`-9/2=x`

Therefore, `x` intercept at `(-9/2, 0)`

`y` intercepts where `x=0`
Therefore, substitute `x=0` and solve for `y`.

`8y=-9`
`y=-9/8`

Therefore, `y` intercept at `(0, -9/8)`