# How do you find the slope of (1,-1); (-2,-6) without a graph?

##### 1 Answer
Mar 18, 2018

See a solution process below:

#### Explanation:

The formula for find the slope of a line is:

$m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ and $\left(\textcolor{red}{{x}_{2}} , \textcolor{red}{{y}_{2}}\right)$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{- 6} - \textcolor{b l u e}{- 1}}{\textcolor{red}{- 2} - \textcolor{b l u e}{1}} = \frac{\textcolor{red}{- 6} + \textcolor{b l u e}{1}}{\textcolor{red}{- 2} - \textcolor{b l u e}{1}} = \frac{- 5}{-} 3 = \frac{5}{3}$