# What is the slope of the line between (6,5) and (1, -2 )?

Dec 6, 2015

The slope $m$ is $\frac{7}{5}$.

#### Explanation:

The equation to use is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope.

Choose which point is $1$ and which is $2$.

Point 1: $\left(6 , 5\right)$
Point 2: $\left(1 , - 2\right)$

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

Substitute the values from the points into the equation.

$m = \frac{- 2 - 5}{1 - 6}$

$m = \frac{- 7}{- 5}$

$m = \frac{7}{5}$