# What is the slope of the line passing through the following points: #(4,0), (7, -6)?

Apr 13, 2018

The slope is $- 2$.

#### Explanation:

The formula for slope is $\left(\text{change in y")/("change in x}\right)$, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Since we have the values of two points, $\left(4 , 0\right)$ and $\left(7 , - 6\right)$, we can plug them into the formula and solve for the slope:
$\frac{- 6 - 0}{7 - 4}$

And now we simplify:
$- \frac{6}{3}$

$- 2$

The slope is $- 2$.

Hope this helps!