Answer: y = -1.5x - 1.5 or y = -3x/2 -3/2
Explanation:
Basically you need to know first what slope intercept form is:
y = mx + b
b is the y intercept and m is the slope
so first you have the equation 3x + 2y = -3
you will first subtract 3x from both sides because if you do something to one side of the equal sign, you have to do it to the other side:
3x + 2y - 3x = -3 - 3x
now you have 2y = -3x -3
Then you are going to divide both sides by 2:
2y/2 = -3x/2 -3/2
That gets you to
y = -3x/2 -3/2
or in fraction form, it is
y = -1.5x - 1.5