SOLUTION: Find the equation of the perpendicular bisector of AB given the points A(5,4) and B(3,-2).Hence or otherwise,find the coordinates of the point P on the x-axis,if P is equidistant f

Algebra ->  Triangles -> SOLUTION: Find the equation of the perpendicular bisector of AB given the points A(5,4) and B(3,-2).Hence or otherwise,find the coordinates of the point P on the x-axis,if P is equidistant f      Log On


   

Question 1177427: Find the equation of the perpendicular bisector of AB given the points A(5,4) and B(3,-2).Hence or otherwise,find the coordinates of the point P on the x-axis,if P is equidistant from A and B.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
 A(5,4) and 
 B(3,-2)    Midpoint is P(4, 1)  and m = 6/2 = 3 (Line segment AB)
the equation of the perpendicular bisector:
 y - 1 = (-1/3)(x - 4)
  y = (-1/3)x + 7/3

Wish You the Best in your Studies.