# How do you find the slope of a line perpendicular to C(13, 2), D(15, -5)?

##### 1 Answer
Feb 15, 2017

the slope is $\frac{2}{7}$

#### Explanation:

The slope of the line CD is

$m = \frac{- 5 - 2}{15 - 13} = - \frac{7}{2}$

The slope of the line perpendicular to CD is:

${m}_{1} = - \frac{1}{m} = \frac{2}{7}$