Answer:
-1/3
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