# How do you write y+4=\frac{-2}{3}(x+6) in slope intercept form?

Oct 26, 2014

The key is to isolate $y$.

$y + 4 = - \frac{2}{3} \left(x + 6\right)$

by distributing $- \frac{2}{3}$ to $x$ and $6$,

$R i g h t a r r o w y + 4 = - \frac{2}{3} x - 4$

by subtracting $4$,

$R i g h t a r r o w y = - \frac{2}{3} x - 8$,

which is slope-intercept form.

I hope that this was helpful.