# How do you find the slope for (3,7) and (-2,11)?

Apr 13, 2018

color(indigo)(Slope = m = -(4/5)

#### Explanation:

Knowing two points on a line, we can find the slope of the line using the formula

$S l o p e = m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Given $\left({x}_{1} , {y}_{1}\right) = \left(3 , 7\right) , \left({x}_{2} , {y}_{2}\right) = \left(- 2 , 11\right)$

$m = \frac{11 - 7}{- 2 - 3}$

$m = \frac{4}{-} 5$