# How do you find the slope given (2,-1) and (-6,-3)?

Apr 25, 2018

Slope $= \frac{2}{3}$

#### Explanation:

In general given two points, $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the slope is the difference between the $y$ coordinate values divided by the difference between the $x$ coordinate values (taken in the same order).

That is
color(white)("XXX")"slope"=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)

For this example, if we use
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{1} , {y}_{1}\right) = \left(2 , - 1\right)$ and
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{2} , {y}_{2}\right) = \left(- 6 , - 3\right)$

We get
color(white)("XXX")"slope"=((-3)-(-1))/((-6)-(-3))=(-2)/(-3)=2/3