# What is the slope of the line passing through the following points: # (1/3, 2/5 ) , (-1/3, 3/5)?

Jun 20, 2016

slope $= - \frac{3}{10}$

#### Explanation:

To calculate the slope of a line passing through 2 points use the $\textcolor{b l u e}{\text{gradient formula}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where $\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2)" are 2 points}$

let $\left({x}_{1} , {y}_{1}\right) = \left(\frac{1}{3} , \frac{2}{5}\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(- \frac{1}{3} , \frac{3}{5}\right)$

Substitute these values into the formula.

$m = \frac{\frac{3}{5} - \frac{2}{5}}{- \frac{1}{3} - \frac{1}{3}} = \frac{\frac{1}{5}}{- \frac{2}{3}} = \frac{1}{5} \times - \frac{3}{2} = - \frac{3}{10}$

$\Rightarrow \text{ slope of line } = - \frac{3}{10}$