Question

check please i pick the 3rd one
Select the equations that are parallel and perpendicular to y = x + 5 and that pass through the point (-2, -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 1

perpendicular lines have slopes that are negatively reciprocal

for this case the slope is 1.

negative reciprocal of 1 is -1

With the general equation, y = mx + b.

We know that the line has slope, -1

y = -x + b

Now substitute x = -2 and y = -1

-1 = - (-2) + b

-1 = 2 + b

b = -3

Final equation is y = -x - 3

Answer 2

and for parallel lines they have the same slope

Answer 3

You are right the answer is the third one.