Answer:
y = -2/3 x + 1
Step-by-step explanation:
endpoints of given segment: (-2, 2) and (2, 4)
slope of given segment: [4 - (-2)]/[2 -(-2)] = 6/4 = 3/2
slope of perpendicular bisector: -2/3
midpoint of given segment: ( (-2 + 2)/2, (-2 + 4)/2 ) = (0, 1)
The perpendicular bisector of the segment has slope -2/3 and passes through the point (0, 1)
y = mx + b
1 = (-2/3) × 0 + b
b = 1
Equation:
y = -2/3 x + 1