Question

Write an equation perpendicular to y =− 3x + 2 and passes through the point (0, 8).

Answer 1

y =
`(1)/(3)` x + 8

Explanation:

the equation of a line in slope- intercept form is

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

y = - 3x + 2 ← is 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)`

the line crosses the y- axis at (0, 8 ) ⇒ c = 8

y =
`(1)/(3)` x + 8 ← equation of perpendicular line