What is the slope of any line perpendicular to the line passing through #(-3,-12)# and #(5,-3)#?
A line perpendicular to another line has an OPPOSITE RECIPROCAL slope.
For example, if a line had a slope of
Similarly, a line with slope
To find the slope of the perpendicular line, first find the slope of the original line.
The perpendicular line's slope will be the opposite reciprocal of