# What is the standard form of y-7=-2/3 (x+1)?

Jul 6, 2018

$- \frac{2}{3} x + y = \frac{19}{3}$

#### Explanation:

Standard form takes the form

$a x + b y = c$, where our variables are on the left.

In our example, we can start by distributing the $- \frac{2}{3}$ on the right to now have:

$y - 7 = - \frac{2}{3} x - \frac{2}{3}$

We can add $7$ or $\frac{21}{3}$ to both sides to get

$y = - \frac{2}{3} x + \frac{19}{3}$

Lastly, we can add $\frac{2}{3} x$ to both sides to get

$- \frac{2}{3} x + y = \frac{19}{3}$

Hope this helps!