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

first you need to find the slop of your equation
and the perpendicular equations have the (inverted and opposite in sign) slope
and the parallel equations have the same slope