# How do you find the slope of the line through the following pairs of points (2,-1/2) and (5, 3/2)?

Jul 28, 2015

The slope is $\frac{2}{3}$

#### Explanation:

Be a straight line passing through the points A and B of coordinates (x_A;y_A) and (x_B;y_B).

The line's slope is found by calculating:
$\frac{{y}_{B} - {y}_{A}}{{x}_{B} - {x}_{A}}$

$\frac{\frac{3}{2} - \left(- \frac{1}{2}\right)}{5 - 2} = \frac{\frac{4}{2}}{3} = \frac{2}{3}$