Answer:
y = 1/3x - 3
Step-by-step explanation:
If the line is perpendicular to y = -3x + 11, it means that the two gradients multiply to make -1.
So the gradient of the perpendicular line is 1/3 (-3 × 1/3 = -1)
y = 1/3x + c
Next, substitute x = -9, and y = -6 to find the y intercept, or c:
-6 = 1/3(-9) + c
-6 = -3 + c
c = -6 + 3
c = -3
The equation of the line is y = 1/3x - 3
