What is the slope of any line perpendicular to the line passing through #(52,-5)# and #(31,7)#?
The perpendicular slope is
First, find the slope of the line passing through those points.
To find the slope of a line passing through given points, we find the
We have the points
Let's plug it into the formula:
To find the slope of the line perpendicular to this line, we find the negative reciprocal, which in this case, is the same thing as making it positive and swapping the numerator and denominator:
Therefore, the perpendicular slope is
Hope this helps!