A perpendicular bisector, Line CD , is drawn through point C on Segment AB.

Question

If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of Line CD is (3,0), (18/5,0), (9,0), or (42/2, 0), Point (-52, 141), (-20, 57), (30, -71), or (54, -128) lies on Line CD.

Please help I don't understand this.

Answer 1

m AB = 2 / 5

C = (2, 4)

m CD = -5 / 2

Equation of line passing though C and D

y = (-5/2)x + b

4 = (-5/2)(2) + b

4 = -5 + b

9 = b

y = (-5/2)x + 9

What is the x-intercept?