# How do you find the slope of the line through (2, -1) and (-3, 4)?

Jul 12, 2015

Use the formula for slope of a line through two points to find slope $= - 1$

#### Explanation:

If a line passes through two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ then its slope $m$ is given by the formula:

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

In our case, let $\left({x}_{1} , {y}_{1}\right) = \left(2 , - 1\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(- 3 , 4\right)$.

Then

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