Determine the slope of the line that is perpendicular to the line 3y = 9x-8.

-1/3

Step-by-step explanation:

First we need to determine the slope of the line. We can get it in the form y = mx+b by solving for y

3y = 9x-8

Divide each side by 3

3y/3 = 9/3x-8/3

y = 3x - 8/3

The slope is 3 and the y intercept is - 8/3

We want to find a line that is perpendicular.

The slope will have to be the negative reciprocal.

m = - (1/3)

m = - 1/3

The slope of the line the is perpendicular is - 1/3

They're right. Divide the 3 then afterwards subtract the 8