slope intercept form

Question

Passes through (-12,6) and is perpendicular to y=3x-8

Having a tough time doing this one because there were no examples.

Answer 1

y = mx + b

The product of slopes of perpendicular lines is -1. The slope of the given line is 3, so the slope of the perpendicular line is

m = -1/3

y = (-1/3)x + b

Use the given point to find b.

6 = (-1/3)(-12) + b

Now solve for b and finish from here.