# How do you find the slope of (7,6) and (9,-4)?

Apr 27, 2017

slope: $- 5$

#### Explanation:

Slope formula: given two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ the formula for slope $m$ is as follows...
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

In this problem, these are your two points --
$\left({x}_{1} , {y}_{1}\right) \setminus \Rightarrow \left(7 , 6\right)$
$\left({x}_{2} , {y}_{2}\right) \setminus \Rightarrow \left(9 , - 4\right)$

Now, applying the formula:
$m = \frac{- 4 - 6}{9 - 7} = \frac{- 10}{2} = - \frac{5}{1}$ or $- 5$

#### Explanation:

Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
$\therefore$Given points are (7),6 and (9,-4)
$\therefore m = \frac{- 4 - 6}{9 - 7}$
slope=-5