Describe the steps to writing the equation of the perpendicular bisector of line segment whose endpoints are given

1. Find the midpoint of the given endpoints. (This is the average of the coordinates of the two endpoints.)

2. Find the slope of the given line segment. (This is the difference in y coordinates divided by the difference in corresponding x coordinates.)

3. Use the point-slope form of the equation for a line to write the equation of the line through the midpoint with a slope that is the negative reciprocal of the slope of the given segment.
  y = m(x-h) +k . . . . . . . . line with slope m through point (h, k)