Question

Write an equation of the line that passes through (3,2), and is perpendicular to the line

y = 1/3 x - 3
An equation of the perpendicular line is y = ____

Answer 1

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.