Question

Which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)

Answer 1

y = -2/3x - 2

Explanation:

Step 1: Find slope m of perpendicular line

Simply take the negative reciprocal of the given line

m = -2/3

y = -2/3x + b

Step 2: Find b

6 = -2/3(-12) + b

6 = 8 + b

b = -2

Step 3: Rewrite perpendicular equation

y = -2/3x - 2