# How do you find the slope given (2,4)(3,8)?

##### 1 Answer
Aug 24, 2015

$m = \frac{4}{1}$, or simply $4$.

#### Explanation:

To find the slope of a line with two points $\left(2 , 4\right)$ and $\left(3 , 8\right)$, use the formula $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, and $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ represent the two points.

Let $\left(2 , 4\right)$ represent $\left({x}_{1} , {y}_{1}\right)$, and $\left(3 , 8\right)$ represent $\left({x}_{2} , {y}_{2}\right)$.

Substitute the two points into the equation.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{8 - 4}{3 - 2}$$=$

$m = \frac{4}{1}$, or simply $4$.
graph{y=4x-4 [-14.06, 14.41, -7.69, 6.55]}