# How do you write 3x – 2y = -6 into slope intercept form?

Aug 11, 2015

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

#### Explanation:

Slope intercept form can be represented as $y = m x + b$
To get an equation into this form, we should try to get $y$ all alone.

From $3 x - 2 y = - 6$
first, we can add $2 y$ to both sides
and get $3 x = 2 y - 6$
then, we can add $6$ to both sides
and get $2 y = 3 x + 6$
now we can divide everything by $2$
to get $\implies y = \frac{3}{2} x + 3$
which is now in slope intercept form :)