Question

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

Answer 1

3x+y=-31

Explanation:

`4x - 12y = 2\\12y = 4x-2\\y=(x)/(3)-(1)/(6)`

Slope of perpendicular line is -3.

`y=-3x+b`

Sub in the point (10, -1)

`-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31`