Question

How do you find the slope that is perpendicular to the line `-3x + 4y = 16`?

Answer 1

See below.

Explanation:

The slope of the perpendicular line is the negative inverse of the slope of this line. If we write the equation in slop-intercept form, we get:

`-3x + 4y = 16`
`4y = 16+3x`
`y = 4+frac(3)(4)x`

So, the perpendicular line slope is `-4/3`.