Question

What is the equation of the line -3 x - 2 y= 30 in slope intercept form​

Answer 1

`y=-(3)/(2)x-15`

Explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, all we have to do is make y the subject.

`-3x-2y=30\\-2y=3x+30\\y=(3x+30)/(-2) \\y=-(3)/(2)x-15\\\\`

Answer 2

y = (3/2)x - 15

Explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15