Question #274cb

Sep 13, 2016

$y = - 4 x - 11$

Explanation:

$- 3 x - 3 y = 33 + 9 x$

By adding $3 x$ on both sides, we get:
$- 3 y = 33 + 9 x + 3 x$
$- 3 y = 33 + 12 x$

Dividing both sides by $- 3$, we get:
$y = \frac{33 + 12 x}{-} 3$
$y = \frac{33}{-} 3 + \frac{12}{-} 3 x$
$y = - 11 - 4 x$

Rearranging:
$y = - 4 x - 11$

Where
m$=$slope$= - 4$
and
b$=$intercept$= - 11$