write the equation of the perpendicular bisector of the line segment whose end points are A(-7,-8) and B(-9,4).

1 answer

slope of AB = (4+8)/(-9+7) = 12/-2 = -6
so the slope of the perpendicular = 1/6
midpoint of AB = (-8,-2)

equation of our line:
y + 2 = (1/6)(x+8)
6y + 12 = x+8

x - 6y = 4