What is the slope-intercept form of 3x+6y=-12

y = - 1/2x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

We need to solve for y

3x+6y=-12

Subtract 3x from each side

3x-3x+6y = - 3x-12

6y = - 3x-12

Divide each side by 6

6y/6 = - 3x/6 - 12/6

y = - 1/2x - 2

This in in slope intercept form where the slope is - 1/2 and the y intercept is - 2