Question

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

Answer 1

`1/2`

Explanation:

Use the formula for finding the slope:
`(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:
`(2 -3)/(0-2)`

Solve
`(2 -3)/(0-2) = (-1)/(-2) = 1/2`

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