Question

Point A (–4,1) is in the standard (x,y) coordinate plane. What must be the coordinates
of point B so that the line x = 2 is the perpendicular bisector of AB ?

Answer 1

Form a point slope form equation between A (-4,1) and B(x,y)

Answer 2

2--4=6
therefore midpoint = 6 so length =12
-4+12=8 therefore x co ordinate = 8
x=2 is perpendicular bisector so x co ordinate has to be the same so y=1
B ( 8,1)