Write the slope-intercept form of the equation that passes through the point (4,-4) and is parallel to the line y = 2/3x - 5 A. y = 2/3x - 20/3 B. y = 2/3x - 4/3 C. y = -3/2x + 2 D. y = -3/2x - 10

C. y = -3/2x + 2

Step-by-step explanation:

Step 1: Find slope of perpendicular line

Take the negative reciprocal of the 1st equation

m = -3/2

y = -3/2x + b

Step 2: Find b

-4 = -3/2(4) + b

-4 = -6 + b

b = 2

Step 3: Rewrite perpendicular line

y = -3/2x + 2