Question

Please answer it would mean so much to me :)

Answer 1

y =
`(1)/(3)` x + 2

Explanation:

the equation of a line in slope- intercept form is

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

Given

3x + y = 4 ( subtract 3x from both sides )

y = - 3x + 4 ← in slope- intercept form

with slope m = - 3

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-3)` =
`(1)/(3)`

Given c = 2 , then

y =
`(1)/(3)` x + 2 ← equation of perpendicular line