# What is the slope of the line between (2,4) and (5,-3)?

Mar 20, 2018

$\text{slope } = - \frac{7}{3}$

#### Explanation:

$\text{calculate the slope m using the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(2,4)" and } \left({x}_{2} , {y}_{2}\right) = \left(5 , - 3\right)$

$\Rightarrow m = \frac{- 3 - 4}{5 - 2} = \frac{- 7}{3} = - \frac{7}{3}$