Question

Determine the equation of the perpendicular bisector of the line segment with endpoints A(-1, 4) and B(7, -2)

Answer 1

y = 4/3x - 3

Explanation:

slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4

perpendicular slope = 4/3

midpoint (-1 + 7)/2, (4 + -2)/2

(3, 1)

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

y = 4/3x - 3