Question

L

write the equation the line perpendicular to y = -1/3x-2 and goes through the point (2,-4)
O y = 3x - 10
Oy=3x + 10
Oy=3x-1
Oy=-3x-10

Answer 1

y = 3x - 10

Explanation:

the equation of a line in slope- intercept form is

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

y = -
`(1)/(3)` x - 2 ← is in slope- intercept form

with slope m = -
`(1)/(3)`

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

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

y = 3x + c ← is the partial equation of the perpendicular line

to find c substitute (2, - 4 ) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = 3x - 10 ← equation of perpendicular line