Question

help, i need 3x+2y=-3 in slope intercept form and ive never been taught how to do it :/

Answer 1

Answer: y = -1.5x - 1.5 or y = -3x/2 -3/2

Step-by-step 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

Answer 2

Answer:

Step-by-step explanation:

The slope intercept form uses y=mx +b where m is the slope. To convert the equation into slope intercept form you just need to isolate y.

3x+2y=-3

subtract 3x from both sides

2y= -3x-3

divide everything by 2 to isolate y

$y=-\frac{3}{2} x-\frac{3}{2}$