Write the following equation in slope intercept:

2x + 3y = 12

y = - 2/3x + 4

Step-by-step explanation:

Slope intercept form is

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

2x+3y = 12

We need to solve for y

Subtract 2x from each side

2x-2x+3y = - 2x+12

3y = - 2x+12

Divide by 3

3y/3 = - 2/3 x + 12/3

y = - 2/3x + 4

Y = mx + b

2x + 3y = 12

3y = - 2x + 12

y = - 2/3 + 4