Answer:
y = (-1/2)x + 9/2
Step-by-step explanation:
A(-2, 3)
B(0, 7)
Midpoint:
M(-1, 5)
Slope AB:
m = (7 - 3)/(0 - (-2)) = 4/2 = 2
Slope of perpendicular:
M = -1/2
The perpendicular bisector has slope -1/2 and passes through the midpoint of AB, (-1, 5)
y = mx + b
y = (-1/2)x + b
5 = (-1/2)(-1) + b
10/2 = 1/2 + b
b = 9/2
y = (-1/2)x + 9/2
