What is the perpendicular bisector of a line with points at A #(-33, 7.5)# and B #(4,17)#?
Equation of perpendicular bisector is
Let us use point slope form of equation, as the desired line passes through mid point of A
This is given by
The slope of line joining A
Hence slope of line perpendicular to this will be
Hence perpendicular bisector will pass through