# How do you find the slope given  -3x + 8y = 24?

Jun 14, 2018

$y = \frac{3}{8} x + 3$

#### Explanation:

The easiest way to find the slope here is putting this in slope-intercept form, shown here:

Following this image, let's change this equation. We need to make $y$ by itself. To do so, first add $\textcolor{b l u e}{3 x}$ to both sides of the equation:
$- 3 x + 8 y = 24$

$- 3 x + 8 y \quad \textcolor{b l u e}{+ \quad 3 x} = 24 \quad \textcolor{b l u e}{+ \quad 3 x}$

$8 y = 24 + 3 x$

Now divide both sides by $\textcolor{b l u e}{8}$:
$\frac{8 y}{\textcolor{b l u e}{8}} = \frac{24 + 3 x}{\textcolor{b l u e}{8}}$

Simplify to get $x$ separated:
$y = \frac{24}{8} + \frac{3}{8} x$

$y = 3 + \frac{3}{8} x$

Match slope-intercept form:
$y = \frac{3}{8} x + 3$

Now this matches slope-intercept form, meaning that $\frac{3}{8}$ is the slope.

For more help on finding slope from standard form, feel free to watch this video:

Hope this helps!