Question

what is the equation of the line in slope intercept form that passes through the point 3 -5 and is perpendicular to the line y = 3x - 6

Answer 1

perpendicular means it will have the negative reciprocal slope value, so m=-1/3
then just plug the point (3, -5) into the equation y=mx+b to solve for b and you're done
so..
-5=(-1/3)3+b
-5=(-1)+b
-4=b
therefore y=(-1/3)x-4