Question

Write an equation in slope-intercept form for the line perpendicular to y = -4x + 2 that passes through the point (4, -4). SHOW YOUR WORK.

Answer 1

y =
`(1)/(4)` x - 5

Explanation:

the equation of a line in slope- intercept form is

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

given the equation of the line

y = - 4x + 2 ← 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

to find c , substitute (4, - 4 ) for x and y in the partial equation

- 4 =
`(1)/(4)` (4) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y =
`(1)/(4)` x - 5 ← equation of perpendicular line