Answer:
C. y = -5x + 4
Step-by-step explanation:
segment with endpoints (–5, 3) and (5, 5)
Slope m = (y2-y1)/(x2-x1)
m = (5 - 3)/(5 - -5) = 2/10 = 1/5
Perpendicular lines have slopes that are negative reciprocals of one another. So slope of bisector is -5
Bisector intersects the segment at midpoints so
x = (Xa + Xb)/2 = (-5 + 5)/2 = 0/2 = 0
y = (Ya + Yb)/2 = (3 + 5)/2 = 8/2 = 4
so midpoint is (0,4)
using slope = -5
y = mx + b
4 = -5(0) + b
b = 4
then y = -5x + 4
