# What is the slope of the line passing through  (3,7) ; (6,-1) ?

Jan 28, 2016

$- \frac{8}{3}$

#### Explanation:

we know,
$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}} . . . . . . . . . . . . . . . . . . . . . . \left(1\right)$
here,
${y}_{1} = 7$
${y}_{2} = - 1$
${x}_{1} = 3$
${x}_{2} = 6$
so, by putting all the values in (1) equation, we get,
$m = \frac{7 - \left(- 1\right)}{3 - 6}$
$= \frac{7 + 1}{-} 3$
$= \frac{8}{-} 3$

$= - \frac{8}{3}$