# How do you find the slope given (5,4)(8,9)?

Apr 8, 2017

$\text{slope } = \frac{5}{3}$

#### Explanation:

To find the slope use the $\textcolor{b l u e}{\text{gradient formula}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ are 2 coordinate points}$

$\text{the 2 points here are " (5,4)" and } \left(8 , 9\right)$

$\text{let " (x_1,y_1)=(5,4)" and } \left({x}_{2} {y}_{2}\right) = \left(8 , 9\right)$

$\Rightarrow m = \frac{9 - 4}{8 - 5} = \frac{5}{3}$