What is the slope of any line perpendicular to the line passing through #(-2,6)# and #(9,-13)#?
The slope of a perpendicular line is
First, we need to determine the slope of the line passing through these two points. The slope can be found by using the formula:
Substituting the values from the points in the problem gives:
The slope of a perpendicular line, let's call it
Therefore the slope of a perpendicular line in this problem is: