# How do you find the slope given (2,3) and (0,2)?

Apr 16, 2016

$\frac{1}{2}$

#### Explanation:

Use the formula for finding the slope:
$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
using the coordinates of (2,3) and (0,2). It doesn't really matter what coordinates you assign for it to be ${y}_{2}$ or ${x}_{2}$, for example, but it does matter that when you assign 2 in the coordinate (2,3) to be ${x}_{1}$, then the y-coordinate (3) needs to be assigned as ${y}_{1}$.

(2,3) where 2 will be ${x}_{1}$ and 3 will be ${y}_{1}$
(0,2) where 0 will be ${x}_{2}$ and 2 will be ${y}_{2}$

Substitute the values into the formula:
$\frac{2 - 3}{0 - 2}$

Solve
$\frac{2 - 3}{0 - 2} = \frac{- 1}{- 2} = \frac{1}{2}$

Slope is $\frac{1}{2}$ graph{y = 1/2x + 2 [-10, 10, -5, 5]}