# What is the slope of 62=-30y+6x?

Dec 9, 2015

Slope: $\frac{1}{5}$

#### Explanation:

The slope of a line in general standard form: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = C$
is $\left(- \frac{\textcolor{red}{A}}{\textcolor{b l u e}{B}}\right)$

$62 = - 30 y + 6 x$
is equivalent to $\textcolor{red}{6} x + \left(\textcolor{b l u e}{- 30}\right) y = 62$

and therefore has a slope of
$\textcolor{w h i t e}{\text{XXX}} \left(- \frac{\textcolor{red}{6}}{\textcolor{b l u e}{\left(- 30\right)}}\right)$

$\textcolor{w h i t e}{\text{XXX}} = \frac{1}{5}$