Answer:
The answer to your question is Midpoint = (0, 1)
Equation of the bisector y = 2x + 1
Step-by-step explanation:
Data
P (-4, 3)
Q (4, -1)
Process
1.- Find the midpoint
Xm = (-4 + 4)/2
Xm = 0/2
Xm = 0
Ym = (3 - 1)/2
Ym = 2/2
Ym = 1
Midpoint = (0, 1)
2.- Equation of the line
slope = (-1 - 3) / (4 + 4)
= -4/8
= -1/2
But the new line is perpendicular so the new slope is
m = 2
Equation of the new line
y - y1 = m(x - x1)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1
