Question 160013
[1] Find the slope of the given line:
y=-6x+2
gives m=-6=slope

[2] A perpendicular line will have slope -1/m. In this case, -1/m=1/6

[3] Apply point slope form y-y1=m(x-x1) with point (3,5)=(x1,y1).

y-5=(1/6)(x-3)
y=(1/6)x-1/2+10/2
y=(1/6)x+9/2.

Finished