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

Mar 29, 2017

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:

$- 3 x + 4 y = 16$
$4 y = 16 + 3 x$
$y = 4 + \frac{3}{4} x$

So, the perpendicular line slope is $- \frac{4}{3}$.