Answer:
y = -6x - 42
Explanation:
First solve for y in x = 6 + 6y.
6y + 6 = x
6y = x - 6
6/6y = x/6 - 6/6
y = 1/6x - 1 the slope is 1/6.
Perpendicular lines slopes are negative reciprocals of each other.
So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)
Next solve for "b" by using y = mx + b and the new slope of -6 and the point (-8,6)
y = mx + b
6 = -6(-8) + b
6 = 48 + b
-42 = b
The equation of the line is y = -6x - 42