Question

Find the slope between the given points. Write your answer as a fraction in simplest form.

(5, 10) and (2, 5)

Answer 1

do rise over run to get 5-10 / 2-5 = -5/-3

Answer 2

Answer: slope = 1
`(2)/(3)`

Explanation:

The slope between to points is given as :

slope = change in y / change in x

That is

slope =
`(y_(2) - y_(1))/(x_(2) - x_(1))`

From the points given :

`x_(1)` = 5

`x_(2)` = 2

`y_(1)` = 10

`y_(2)` = 5

Substituting into the formula , we have

slope =
`(5-10)/(2-5)`

slope =
`(-5)/(-3)`

slope =
`(5)/(3)`

slope = 1
`(2)/(3)`