What is the slope of any line perpendicular to the line passing through #(-6,6)# and #(-2,-13)#?
First, we need to determine the slope of the line for the two given points.
The slope can be found by using the formula:
Substituting the points provided gives:
The slope of a line perpendicular to a given line is the negative inverse of the slope of the given line.
So, if the slope of a given line is:
the slope of a perpendicular line is:
For our problem, the slope of the given line is:
Therefore, the slope of a perpendicular line is: