# What is the slope of the line passing through the following points:  (-2,8) , (-1,4)?

Dec 20, 2015

$m = - 4$

#### Explanation:

Use the equation $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, and one point is $\left({x}_{1} , {y}_{1}\right)$ and the other point is $\left({x}_{2} , {y}_{2}\right)$. (It doesn't matter which point is which as long as you are consistent.

Let Point 1$=$$\left(- 2 , 8\right)$.
Let Point 2$=$$\left(- 1 , 4\right)$.

Substitute the $x$ and $y$ values into the equation.

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

m=(4-8)/(-1-(-2)

Simplify.

m=(-4)/(-1-(-2)

Simplify.

$m = \frac{- 4}{- 1 + 2}$

Simplify.

$m = \frac{- 4}{1}$

Simplify.

$m = - 4$