Who know how to do this

A(-6,4) and E(6,0)
slope m = (4 - 0) / ( -6-6) = 4/-12 = -1/3

perpendicular, slope is opposite and reciprocal so slope = 3

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint

Midpoint:
so x = ((-6+6)/2 = 0 and y = (4+0)/ 2 = 2
so M = (0,2)

equation of perpendicular line: y = 3x + 2

answer:
equation:  y = 3x + 2
point lies on perpendicular bisector: (0,2)