find two point the perpendicular bisector of line AB. verify your results by showing each point is equidistant from A and B. A(3,0) B (1,4)

Answer 1

slope of AB is -1/2
slope of bisector is 2
midpoint of AB = (2,2)

line is

y-2 = 2(x-2)

now pick any two points on that line and figure the distances needed