# What is the slope of any line perpendicular to the line passing through #(6,26)# and #(1,45)#?

##### 1 Answer

See a solution process below:

#### Explanation:

First, we need to determine 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:

Now, let's call the slope of a perpendicular line:

The slope of a line perpendicular to a line with slope

Substituting the slope for the line in the problem gives: