How do you find the slope and intercept to graph 2x - 6y = 12?

Mar 22, 2016

the slope is $m = \frac{1}{3}$

the y intercept is $b = - 2$

Explanation:

$2 x - 6 y = 12$

isolate the term variable with $y$
$\cancel{2 x} - \cancel{2 x} - 6 y = - 2 x + 12$

$- 6 y = - 2 x + 12$

Isolate the $y$ variable
$\left(\frac{\cancel{- 6} y}{\cancel{- 6}}\right) = \frac{- 2 x + 12}{- 6}$

$y = \frac{- 2 x + 12}{- 6}$

simplify the fraction

$y = \frac{1}{3} x - 2$

the slope intercept equation is
$y = m x + b$
where
$m$ = the slope and $b$ = they intercept

$m = \frac{1}{3}$

$b = - 2$