Answer:
parallel line equation: y=x+4
perpendicular line equation: y=-x-14
Step-by-step explanation:
The initial slope is m=1.
Given for parallel line: m=1 ( for parallel line slope stays the same) x=-9 and y=-5
use the formula y=mx+b
-5=1(-9)+b
-5=-9+b
4=b
y=x+4
slope for perpendicular line is to flip the slope and change the sign.
m=-1, x=-9 and y=-5
-5=-1(-9)+b
-5=9+b
b=-14
y=-x-14