#### Answer

y=-3x+1

#### Work Step by Step

3y=x-6
y=$\frac{x-6}{3}$
y=$\frac{x}{3}$-$\frac{6}{3}$
y=$\frac{x}{3}$-2
y=$\frac{1}{3}$x-2, slope is $\frac{1}{3}$
line is perpendicular, slope is -3, through (2;-5)
y=mx+b
-5=-3*2+b
-5=-6+b
-5+6=b
1=b
y=mx+b
y=-3x+1