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