What is the slope of any line perpendicular to the line passing through #(13,17)# and #(-1,-2)#?
See a solution process below:
First, we can find the slope of the line defined by 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:
One of the characteristics of perpendicular lines is their slopes are the negative inverse of each other. In other words, if the slope of one line is:
Then the slope of the perpendicular line, let's call it
We can calculate the slope of a perpendicular line as:
Any line perpendicular to the line in the problem will have a slope of: