Which is the equation of a line that is perpendicular to 6x - 4y = 9?

A. y=-2/3x-4

B. y=2/3x+4

C. y=-3/2x

D. y=3/2x-2

6x - 4y = 9

4y = 6x - 9

y = 6/4 x - 9/4

y = 3/2 x - 9/4 this line has slope = 3/2

perpendicular line, slope is opposite and reciprocal so slope of this line = - 2/3

answer:

A. y = - 2/3 x - 4 (only this line has slope = - 2/3)