# How do you find the slope that is perpendicular to the line y= -1/2x + 4?

Jun 28, 2016

The perpendicular slope of a given line's slope is it's negative reciprocal.

#### Explanation:

The slope of that line is,

$m = - \frac{1}{2}$

The negative reciprocal is,

$m = 2$

So the slope that is perpendicular to that line is,

$m = 2$