Which equation represents a line that is perpendicular to the line whose equation is - 2y=3x+7

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = - 3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes - 2/3) and then we change the sign (-2/3 becomes 2/3)