an equation perpendixulat to y=-1/3x+4 through (-4,2)

Answer 1

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line is

m = -1/(-1/3) = 3

y = 3x + b

Use the given point to find b.

2 = 3(-4) + b

b = 14

y = 3x + 14