# What is the slope of any line perpendicular to the line passing through #(2,15)# and #(10,21)#?

##### 1 Answer

Aug 30, 2017

See a solution process below:

#### Explanation:

First, we need to find the slope of the line going through the two points in the problem. The slope can be found by using the formula:

Where

Substituting the values from the points in the problem gives:

Let's call the slope of the perpendicular line:

The slope of a perpendicular can be found using the formula:

Substituting gives: