What is the slope of any line perpendicular to the line passing through #(-3,-6)# and #(-2,1)#?
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: