What is the equation of the line that is perpendicular to y= --2/3X+4 and that passes through (-2,-2)?

A)Y=3/2x-10/3
B)Y=3/2x-5
C)Y=3/2x+1
D)Y=3/2x-2/3

answer:

C) 3/2x+1

Step-by-step explanation:

Since it says perpendicular, you use the negative reciprocal of the slope in y = -2/3X+4

This would make the equation y = 3/2X + b

Then, to solve for b, input the values in (-2,-2)

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

-2 = -3 + b

1 = b

The final equation would be y = 3/2X + 1

the function makes a strait line horizontally with no x intercept but a y intercept at 9.