# What is the slope of the line passing through the following points:  ( -7, 5), (-3, -1)?

##### 1 Answer
Jul 27, 2016

The slope would be $m = - \frac{3}{2}$

#### Explanation:

The slope of the line is determined by the change in $y$ over the change in $x$.

$\frac{\Delta y}{\Delta x}$

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

Using the points (-7,5) and (-3,-1)

${x}_{1} = - 7$
${y}_{1} = 5$
${x}_{2} = - 3$
${y}_{2} = - 1$

$m = \frac{- 1 - 5}{\left(- 3\right) - \left(- 7\right)}$

$m = \frac{- 1 - 5}{- 3 + 7}$

$m = \frac{- 6}{4}$

$m = - \frac{3}{2}$