# What is the slope of the line passing through the following points:  (-5, -3) , (10,-2)?

Mar 21, 2016

The slope is $\frac{1}{15}$

#### Explanation:

To find the slope of a line given the points it crosses you can use the formula:

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

Identify the coordinates:

The ${y}_{2}$ coordinate is: $- 2$
The ${y}_{1}$ coordinate is: $- 3$
The ${x}_{2}$ coordinate is: $10$
The ${x}_{1}$ coordinate is: $- 5$

You then apply the formula.

$m = \frac{- 2 - \left(- 3\right)}{10 - \left(- 5\right)} = \frac{1}{15}$