# What is the slope of the line passing through the following points:  (-2, -4) ; (-6, -1)?

Slope $= \frac{- 1 - \left(- 4\right)}{- 6 - \left(- 2\right)} = \frac{3}{- 4} = - \frac{3}{4}$

#### Explanation:

Let ${P}_{2} \left({x}_{2} , {y}_{2}\right) = \left(- 6 , - 1\right)$
Let ${P}_{1} \left({x}_{1} , {y}_{1}\right) = \left(- 2 , - 4\right)$

Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 1 - \left(- 4\right)}{- 6 - \left(- 2\right)} = \frac{3}{- 4} = - \frac{3}{4}$

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