# What is the slope of the line passing through the following points:  (-4,-2), (-3,8) ?

Apr 4, 2016

The slope is $10$.

#### Explanation:

Slope is $\text{rise"/"run}$, or the change in the $y$ coordinate divided by the change in $x$.

Mathematically this is written

$\frac{\delta y}{\delta x}$

To calculate change in a coordinate, take the second one and subtract the first.

$\delta y = 8 - \left(- 2\right) = 10$
$\delta x = - 3 - \left(- 4\right) = 1$

Therefore the slope is

$\frac{\delta y}{\delta x} = \frac{10}{1} = 10$

Apr 4, 2016

10

#### Explanation:

Slope is rise over run, in other words, the change in the $y$ divided by the change in $x$.
'Change in' is the difference between the numbers, so
$\left({y}_{2} - {y}_{1}\right)$ divided by $\left({x}_{2} - {x}_{1}\right)$

$\frac{8 - - 2}{- 3 - - 4} = \frac{10}{1} = 10$