a) y= -6x+1
1) Perpendicular Lines have a reciprocal and opposite slope considering the original function: -1/m
So the slope of that perpendicular line is m = -6
2) Examining the options, let's rewrite them into the slope-intercept form
a) y=-6x +1
b)y=1/6x +42
c) y=-x/6-6
d) -y=-1/6x+4/3
3) So the answer is a) y= -6x+1