To answer this adequately, you'll need to find the slope of each of the four given line segments. I note that the slope of the fourth one, NP, is
-6 + 3 -3
m = ----------- = -----
2 - 0 2
This slope is the same as that of the given line, and therefore these 2 lines are parallel, not perpendicular. So eliminate the fourth possibility and concentrate on the other 3 until you find the one that has slope +2/3. Reminder: perpendicular lines are characterized by negative reciprocal slopes.
