# What is the slope of the line passing through the following points: (5, 3), (4, -1) ?

Apr 2, 2018

The slope is $4$.

#### Explanation:

We will use the slope formula to find the slope of this line. The formula is essentially:

$\text{slope" = "change in y"/"change in x}$

The actual formula is:

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

We will call $\left(5 , 3\right)$ Point 1 so:
${x}_{1} = 5$
${y}_{1} = 3$

We will call $\left(4 , - 1\right)$ Point 2 so:
${x}_{2} = 4$
${y}_{2} = - 1$

Now substitute those values into the equation:

$m = \frac{- 1 - 3}{4 - 5}$

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

$m = 4$

The slope of this line is $4$.