# What is the slope of any line perpendicular to the line passing through #(-6,6)# and #(-2,-13)#?

##### 1 Answer

Dec 19, 2016

The slope of any perpendicular line will be:

#### Explanation:

First, we need to determine the slope of the line for the two given points.

The slope can be found by using the formula:

Where

Substituting the points provided gives:

The slope of a line perpendicular to a given line is the negative inverse of the slope of the given line.

So, if the slope of a given line is:

the slope of a perpendicular line is:

For our problem, the slope of the given line is:

Therefore, the slope of a perpendicular line is: