# What is the slope of the line passing through the following points: (2,-1) ,(5,3) ?

Mar 21, 2016

The slope $= \frac{4}{3}$

#### Explanation:

(2,-1) = color(blue)(x_1, y_1

(5, 3) = color(blue)(x_2, y_2

The slope is calculated using formula:

Slope  = (y_2-y_1) / (x_2- x_1 ( change in y axis / change in x axis)

$= \frac{3 - \left(- 1\right)}{5 - 2}$

$= \frac{3 + 1}{3}$

$= \frac{4}{3}$