Question

Find the midpoint of PQ with endpoints P(0, 2) and Q(6, -2). Then write an equation of the perpendicular bisector.

Answer 1

Answer:

Midpoint: (3,0)

Perpendicular bisector: y = 3/2x + 9/2

Step-by-step explanation:

Midpoint: (0+6)/2=3 and (2-2)/2=0

(3,0)

Perpendicular bisector:

Slope: (-2-2)/6-0) = -4/6 = - 2/3

Slope of the perpendicular line = 3/2

y-intercept: 0 - (3/2)(3) = 9/2

Perpendicular bisector: y = 3/2 + 9/2