Question

Write an equation for a line perpendicular to y = − 4 x − 5 and passing through the point (-4,-4)

Answer 1

`y = (1)/(4)x - 3`

Explanation:

the line perpendicular to another line has the opposite reciprocal slope of the original

the opposite reciprocal of -4 is 1/4

so

put that in the equation

`y = (1)/(4)x + b`

now plug in the points for (-4, -4)

`-4 = (1)/(4)(-4) + b`

-4 = -1 + b

b = -3

now plug that into the equation

`y = (1)/(4)x - 3`

thats your answer