# What is the slope of the line passing through the following points: (9, -10), (14,-6) ?

##### 2 Answers
Jun 25, 2018

$\frac{4}{5}$

#### Explanation:

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

In our case, $\left({x}_{1} , {y}_{1}\right)$ is $\left(9 , - 10\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is $\left(14 , - 6\right)$.

$\frac{- 6 - \left(- 10\right)}{14 - 9} = \frac{4}{5}$

Hope this helped!!

Jun 25, 2018

$\frac{4}{5}$

#### Explanation:

To find the slope of any line when only the points are given, use the slope formula:

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

Call $\left(9 , - 10\right)$ Point 1. This means that:

${x}_{1} = 9$
${y}_{1} = - 10$

Call $\left(14 , - 6\right)$ Point 2. This means that:

${x}_{2} = 14$
${y}_{2} = - 6$

Now substitute those values into the equation:

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

m = ((-6) - (-10))/((14)-(9)

m = (-6 + 10 )/(14-9

m = (4 )/(5

The slope of this line is $\frac{4}{5}$.