Question

Does someone mind helping me with this problem? Thank you!

Answer 1

y =
`(1)/(4)` x + 9

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 2 ← is in slope- intercept form

with slope m = - 4

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-4)` =
`(1)/(4)` , then

y =
`(1)/(4)` x + c ← is the partial equation

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y =
`(1)/(4)` x + 9 ← equation of perpendicular line