# What is the slope of the line passing through the following points:  (-2,-1) , (4, 6)?

$m = \frac{7}{6}$
The slope of the line passing through $A \left({x}_{1} , {y}_{1}\right) \mathmr{and} B \left({x}_{2} , {y}_{2}\right)$ is$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} .$ Here,$A \left(- 2 , - 1\right) \mathmr{and} B \left(4 , 6\right)$.
$\implies m = \frac{6 - \left(- 1\right)}{4 - \left(- 2\right)} = \frac{6 + 1}{4 + 2} = \frac{7}{6}$