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

May 10, 2018

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

#### Explanation:

The formula to figure out the slope of a line using two points is

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

In this case, $0$ is ${y}_{2}$ and $- 4$ is ${y}_{1}$. You then have $0 - \left(- 4\right)$, which is equivalent to $0 + 4$, as your numerator.

Similarly, $7$ is ${x}_{2}$ and $4$ is ${x}_{1}$, meaning your denominator would be $7 - 4$. When you solve the expressions you will get

$m = \frac{4}{3}$

and since $m$ represents your slope, $\frac{4}{3}$ is the answer.

May 10, 2018

$m = \frac{4}{3}$

#### Explanation:

Use the slope formula, $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\frac{0 - \left(- 4\right)}{7 - 4} = \frac{4}{3}$

$m = \frac{4}{3}$