Question

Choose the equation of the line passing through the point (-1, -2) and perpendicular to y = 1/4x + 2.

Answer 1

Two things here:

#1. The slopes of perpendicular lines are negative reciprocals of one another.

In the case of your example, our slope is 1/4.

So the line perpendicular to it would have a slope of -4.

Answer 2

From here use the point slope formula to get an equation of the line passing through (-1,-2) with a slope of -4.

\[y-y _{1}=m(x-x _{1})\]

Answer 3

Plugging in our point into our equation we get:

y - (-2) = -4 (x - (-1))

Answer 4

Solving for y:

y + 2 = -4x - 4

y = -4x - 6

Answer 5

thank you