Respuesta :

Answer:

D:  y = -x/3 + 2

Step-by-step explanation:

The key word here is "perpendicular."  If the given line has slope 3, the slope of any line perpendicular to this one is the NEGATIVE RECIPROCAL of 3:

m = -1/3.

This narrows down our answer choice to D:  y = -x/3 + 2, same as y = (-1/3) + 2.  The slopes of all other answer choices given here are incorrect.