# How do you find the slope for (1,6) & (-1,-2)?

Apr 11, 2018

$m = 4$

#### Explanation:

Use this formula to find the slope where $m$ is the slope

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

This formula makes sense because slope is rise over run. Rise being the $y$ values and run being the $x$ values.

Now you choose which point is point 2 (includes ${y}_{2}$ and ${x}_{2}$) and which point is point 1 (includes ${y}_{1}$ and ${x}_{1}$)

Point 2: $\left(1 , 6\right) \to {y}_{2} = 6$ and ${x}_{2} = 1$
Point 1: $\left(- 1 , - 2\right) \to {y}_{1} = - 2$ and ${x}_{1} = - 1$

Plug into the formula and solve for the slope:

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

$m = \frac{6 - \left(- 2\right)}{1 - \left(- 1\right)}$

$m = \frac{6 + 2}{1 + 1}$

$m = \frac{8}{2}$

$m = 4$