# How do you find the slope for (-7,-5) and (-3,-6)?

Mar 24, 2016

The slope would be $- \frac{1}{4}$

#### Explanation:

Slope can be calculated using the formula: $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$. But first you must designate your two points in terms of x and y.

So, let $\left(- 7 , - 5\right)$ be represented as $\left({x}_{1} , {y}_{1}\right)$ and let

$\left(- 3 , - 6\right)$ be represented by $\left({x}_{2} , {y}_{2}\right)$. Now it's just a matter of substituting your points into the formula:

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 6 - - 5}{- 3 - - 7} = - \frac{1}{4}$.

The slope is $- \frac{1}{4}$