# What is the slope of the line passing through the following points:  (0,2) ; (-1, 5)?

Slope $m$ a of 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 $A = \left(0 , 2\right) \mathmr{and} B = \left(- 1 , 5\right)$
$\implies m = \frac{5 - 2}{- 1 - 0} = \frac{3}{-} 1 = - 3$
$\implies$ slope of the line passing through the given points is $- 3$.