Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7

They are perpendicular

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are - 3/2 and 2/3. These slopes are flipped and the opposite negations of each other. This means the lines are perpendicular.