If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

3x + 2y = - 2

Step-by-step explanation:

Given Equation is - 2 x + 3 y = 12

3 y = 2 x + 12

y = (2 / 3) y + 12

Slope of this line is m = 2 / 3

Slope of Line A m a = 2

Slope of Line B m b = 2 / 3

Slope of Line C m c = - (2 / 3)

Slope of Line D m d = - (3 / 2)

since m d = - 1 / m, D is perpendicular to the given line