# What is the slope of the line passing through the following points:  (4,7) ,(1,-1) ?

Dec 29, 2015

The slope, $m$, is $\frac{8}{3}$.

#### Explanation:

The equation to find the slope of a line from two points is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, $\left({x}_{1} , {y}_{1}\right)$ is the first point, and $\left({x}_{2} , {y}_{2}\right)$ is the second point.

First point: $\left(4 , 7\right)$
Second point: $\left(1 , - 1\right)$

Substitute the given values into the equation.

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

$m = \frac{- 1 - 7}{1 - 4}$

Simplify.

$m = \frac{- 8}{- 3}$

Simplify.

$m = \frac{8}{3}$

Note: It doesn't matter which point is first or second, as long as you are consistent.