Write the slope-intercept form of 3x-2y=-16

First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x

slope-intercept form is y=mx+b. which means you need to move the terms around to get that format.

3x-2y=-16              
-2y = -16 - 3x         Subtract 3x from both sides
y = 8 + 3/2 x           Divide both sides by -2
y = 3/2 x + 8          Rearrange to get y=mx+b format.

m = slope = 3/2
b = y-intercept = 8