Answer:
y = x - 9
Step-by-step explanation:
Find the slope of the first line.
(-9 + 5)/(5 + 9)
-1
Lines perpendicular have opposite reciprocal slopes
1
Find the middle point of the first line, this is where it will intersect with the bisector.
5 + - 9/2 = 2
-5 + -9/2 = -7
(2,-7) is the midpoint
Use Point Slope Form to reduce it to Standard Form
y + 7 = 1(x - 2)
y + 7 = x - 2
y = x - 9