Answer:
y = 4/3x -11
Step-by-step explanation:
y = -3/4 x - 8
This is in slope intercept form
y = mx+b where the slope is -3/4
We want a slope that is perpendicular
Take the negative reciprocal
-1 ( -3/4) = 4/3
The slope of the line that is perpendicular is 4/3
Using the slope intercept form of a line is
y = mx+b
y = 4/3x+b
Substituting the point into this equation
-3 = 4/3(6) +b
-3 = 8+b
Subtract 8 from each side
-3-8 = b
-11 =b
y = 4/3x -11
