Question

The graph of a line is represented by the equation `3x+2y=12.`What value represents the rate of change of `y` with respect to `x` for the equation?

Answer 1

Solve for y: 3x + 2y = 12 → 2y = 12 − 3x → y = 6 − (3/2)x.
So dy/dx (the rate of change of y with respect to x) is −3/2.