# How do you find the slope given (1,-1); (-2,-6)?

May 16, 2018

The slope is $\frac{5}{3}$.

#### Explanation:

This problem can be solved using the slope formula, $m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

Use the two points given and plug them into the equation. I am using (1,-1) as Point 1 and (-2,-6) as Point 2.
$m = \frac{- 1 - - 6}{1 - - 2}$

The double negatives each cancel out to be a positive (addition).
$m = \frac{- 1 + 6}{1 + 2}$

From here, it is simply addition to completely simplify the expression into a slope.

$m = \frac{5}{3}$