What is the slope of any line perpendicular to the line passing through #(1,-7)# and #(3,-5)#?
See a solution process below:
First, we need to find the slope of the line passing through the two points. The slope can be found by using the formula:
Substituting the values from the points in the problem gives:
Let us call the slope of a perpendicular line
The formula for the slope of a perpendicular line is:
Substituting the slope we calculated gives us the slope of the perpendicular line as: