Answer:
A. Y = -6X + 9
Explanation:
Solving for y, we can find the slope of the given line. It is the coefficient of x, 1/6.
-12y = -2x -1
y = 1/6x +1/12
The perpendicular line will have a slope that is the negative reciprocal of this:
m = -1/(1/6) = -6
The y-intercept will be the y-value corresponding to x=0. That value is b=9, given to us by the point the line is to go through. So, we have the slope-intercept form ...
y = mx + b
y = -6x + 9