# What is the slope of the line passing through  (7,9) ; (3,7) ?

Jan 15, 2016

$s l o p e = \frac{1}{2}$

#### Explanation:

To find the gradient (slope ) of a line joining 2 points use the 'gradient formula' :

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

where m represents the slope and $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right)$

are the coordinates of the 2 points.

let $\left({x}_{1} , {y}_{1}\right) = \left(3 , 7\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right) = \left(7 , 9\right)$ for this question.

Evaluating: m = $\frac{9 - 7}{7 - 3} = \frac{2}{4} = \frac{1}{2}$