# What is the slope of any line perpendicular to the line passing through #(1,-7)# and #(3,-5)#?

##### 1 Answer

See a solution process below:

#### Explanation:

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

Where

Substituting the values from the points in the problem gives:

Let us call the slope of a perpendicular line

The formula for the slope of a perpendicular line is:

Substituting the slope we calculated gives us the slope of the perpendicular line as: