# What is the slope of the line passing through the following points:  (-2, -4) ; (1,5) ?

Slope $m$ of a line passing through two points $A \left({x}_{1} , {y}_{1}\right)$ and $B \left({x}_{2} , {y}_{2}\right)$ is given by
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
Here let $A = \left(- 2 , - 4\right) \mathmr{and} B = \left(1 , 5\right)$
$\implies m = \frac{5 - \left(- 4\right)}{1 - \left(- 2\right)} = \frac{5 + 4}{1 + 2} = \frac{9}{3} = 3$
$\implies$ slope of the line passing through the given points is $3$.