Step-by-step explanation:
step 1. perpendicular lines have negative reciprocal slopes
step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3
step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)
step 4. y - 2 = -3x + 9
step 5. y = -3x + 11.