Question

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

That looks like the 3rd choice because you want 1 for the slope of the parallel line and -1 for the slope of the perpendicular line. And I checked the points.

Answer 2

Both equations are first gotten through the point-slope formula for the equation of a line:\[y - y _{1} = m(x - x _{1})\]where "m" is your slope.

Answer 3

So, for the parallel line:

y - (-1) = (1)(x - (-2)) -> y = x + 1

Answer 4

what answer is that

Answer 5

For the perpendicular line:

y - (-1) = (-1)(x - (-2)) -> y = -x - 3

And the overall answer is the 3rd one.