# What is the slope of the line passing through the following points: (1, -1); (8,12)?

May 27, 2017

slope = $\frac{13}{7}$

#### Explanation:

$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$
$m = \frac{12 - \left(- 1\right)}{8 - 1} = \frac{13}{7}$

May 27, 2017

$m = \frac{13}{7}$

#### Explanation:

Strategy: Use the slope formula and plug in the points you have been given.

Step 1. Use the slope formula

The slope formula is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{2}}$

Notice this is the same as $\left(\text{rise")/("run}\right)$. One way to remember which variable goes in the numerator is that $y$'s rhymes with "rise", which rises to the top.

Step 2. Plug in your points.

You are given
${x}_{1} = 1$ and ${y}_{1} = - 1$
${x}_{2} = 8$ and ${y}_{2} = 12$

$m = \frac{12 - \left(- 1\right)}{8 - 1} = \frac{12 + 1}{7} = \frac{13}{7}$