# What is the slope of the line passing through the following points: # (-3/4 , 2/3) , (-1/3, 3/5)?

Slope $m = - \frac{4}{25}$

#### Explanation:

From the given points

Let $\left({x}_{2} , {y}_{2}\right) = \left(- \frac{1}{3} , \frac{3}{5}\right)$
Let $\left({x}_{1} , {y}_{1}\right) = \left(- \frac{3}{4} , \frac{2}{3}\right)$

Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\frac{3}{5} - \frac{2}{3}}{\frac{- 1}{3} - \frac{- 3}{4}} = \frac{\frac{9 - 10}{15}}{\frac{- 4 + 9}{12}}$
Slope $m = \left(- \frac{1}{15}\right) \cdot \left(\frac{12}{5}\right) = - \frac{4}{25}$

God bless....I hope the explanation is useful.