What is the slope of any line perpendicular to the line passing through #(-2,5)# and #(-3,1)#?
See a solution process below:
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:
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: