# What is the slope of the line passing through the following points:  (4, 3) , (2,-5)?

Apr 14, 2018

$4$

#### Explanation:

To find the slope using two points:

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

$\frac{- 5 - 3}{2 - 4}$

$\frac{- 8}{- 2}$

$4$

Apr 14, 2018

The slope is $4$.

#### Explanation:

$\left(4 , 3\right)$ and $\left(2 , - 5\right)$

Slope of a line is defined by $\text{change in y"/"change in x}$ or $\text{rise"/"run}$ or the formula $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

We have the value of two points, so we can plug them into the formula:
$\frac{- 5 - 3}{2 - 4}$

Simplify...
$\frac{- 8}{-} 2$

$4$

The slope is $4$.

Hope this helps!