# How do you find the slope of a line 30x - 5y = 5.6 ?

Jul 19, 2018

The slope is $6$.

#### Explanation:

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easier:

$30 x - 5 y = 5.6$

Subtract $\textcolor{b l u e}{30 x}$ from both sides of the equation:
$30 x - 5 y \quad \textcolor{b l u e}{- \quad 30 x} = 5.6 \quad \textcolor{b l u e}{- \quad 30 x}$

$- 5 y = 5.6 - 30 x$

Divide both sides by $\textcolor{b l u e}{- 5}$:
$\frac{- 5 y}{\textcolor{b l u e}{- 5}} = \frac{5.6 - 30 x}{\textcolor{b l u e}{- 5}}$

$y = - 1.12 + 6 x$

$y = 6 x - 1.12$

We know that the slope is the value multiplied by the $x$, meaning that the slope is $6$.

Hope this helps!