# What is the slope of the line perpendicular to y=-4/15x+15 ?

Dec 30, 2015

Perpendicular lines have a slope equal to the negative reciprocal ...

#### Explanation:

The slope of the given line is $m = - \frac{4}{15}$

The negative reciprocal: $m ' = - \left(- \frac{15}{4}\right) = \frac{15}{4}$

So, the slope of the perpendicular line is $\frac{15}{4}$

Hope that helps