# How do you find the slope given (-7,3) and (3,8)?

Nov 15, 2015

The slope equation is (Change in Y)/(Change in X)

#### Explanation:

First, we find the change in y. This is calculated by taking the second y coordinate (y sub 2) and adding the negative of the first y coordinate (y sub 1). In this case y2-y1 would equal 8-3, or 5. The same process is then done with the x's in this case x2-x1 would be 3-(-7) or 3+7, which is 10. Finally, we put the change in y (5) over the change in x (10) and arrive at 5/10, which is simplified to 1/2. Therefore the slope is found at 1/2. (up one, over two, up one, over two, etc etc).

Nov 15, 2015

Slope $= \frac{1}{2}$.

#### Explanation:

We will use m (gradient) = $\frac{\delta y}{\delta x}$ where $\delta$ is "difference in". So, we subtract:
$\left(- 7 , 3\right)$,
$\left(3 , 8\right)$. We get:
$\delta y = - 5$,
$\delta x = - 10$. So, we divide:
$\frac{\delta y}{\delta x} = \frac{- 5}{- 10} = \frac{5}{10} = \frac{1}{2}$. So, the slope is $\frac{1}{2}$.

Hope it Helps! :D .