# What is the slope of the line passing through  (3,0); (9,8)?

May 12, 2018

The slope is $\frac{4}{3}$.

#### Explanation:

To find the slope of a line from two points, we use the formula $\left(\text{change in y")/("change in x}\right)$ or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

So let's plug in those two points we have (pay attention to the negative signs!):
$\frac{8 - 0}{9 - 3}$

And now let's simplify:
$\frac{8}{6}$

$\frac{4}{3}$

The slope is $\frac{4}{3}$.

Hope this helps!