Question

Select the equations that are parallel and perpendicular to y = x + 5 and that pass through the point (-2, -1).

Answer 1

parallel: y = -x - 1
perpendicular: y = x + 2

parallel: y = x - 1
perpendicular: y = -x + 1

parallel: y = x + 1
perpendicular: y = -x - 3

parallel: y = 2x - 2
perpendicular: y = -2x - 1

Answer 2

parallel:

y=mx+b , m=1 , (-2,-1)
-1=1(-2)+b
-1=-2+b
1=b

=>y=x+1

perpendicular :

y=mx+b , m=-1 , (-2,-1)
-1=-1(-2)+b
-1=2+b
-3=b

=>y=-x-3