# How do you find the slope of (3,4) and(-6,10)?

Mar 15, 2018

$- \frac{2}{3}$

#### Explanation:

The slope equals change in y divided by change in x. The change in y is 4-10, or -6, and the change in x is 3 - (-6), or 9. $- \frac{6}{9}$ can be reduced to $- \frac{2}{3}$.

Mar 15, 2018

$\text{slope } = - \frac{2}{3}$

#### Explanation:

$\text{to calculate the slope m use the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(3,4)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 6 , 10\right)$

$\Rightarrow m = \frac{10 - 4}{- 6 - 3} = \frac{6}{- 9} = - \frac{2}{3}$