# How do you find the slope of a line A(1,5) B(3,15)?

Jun 9, 2015

The slope of the line running through the two given points is 5.

#### Explanation:

Use the slope equation: $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, ${x}_{1} \mathmr{and} {y}_{1}$ are one point, and ${x}_{2} \mathmr{and} {y}_{2}$ are a second point.

Let $\left(1 , 5\right)$ be $\left({x}_{1} , {y}_{1}\right)$, where ${x}_{1} = 1$ and ${y}_{1} = 5$.

Let $\left(3 , 15\right)$ be $\left({x}_{2} , {y}_{2}\right)$ where ${x}_{2} = 3$ and $y = 15$.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{15 - 5}{3 - 1} = \frac{10}{2} = 5$