What is the slope of any line perpendicular to the line passing through #(-6,1)# and #(-2,5)#?
First we need to determine the slope of the line passing through the two points in the problem. The formula for calculating the slope is:
Substituting the values from the points in the problem gives:
Let's call the slope of the perpendicular line
The rule for calculating the slope of a perpendicular line is:
Substituting the slope we calculated gives: