Question

How do you find the slope of a line perpendicular to 2y = -6x + 8?

Answer 1

We first simplify by dividing everything by `2`:
`->y=-3x+8`

Explanation:

The slope is now `-3`
The slope of a perpendicular line is the negative inverse of the first slope, in other words, they multiply to give `-1`:

`(-3)xxm=-1->m=(-1)/-3=1/3`