Question

What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simplest form.

Answer 1

1/5

Explanation:

Equation:
`(y_(2) - y_(1))/(x_(2) - x_(1))`

Points: (-3, -9) and (22, -4)

`y_(2)` is the second y point that shows up on the question, basically go by order. So it's -4

`y_(1)` is -9, because again, in order of which coordinates pop-up first in the question

`x_(2)` is 22,
`x_(1)` is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

`(y_(2) - y_(1))/(x_(2) - x_(1))` =
`y_(2) - y_(1)` and
`x_(2) - x_(1)`, we'll put them back in a fraction later

`y_(2) - y_(1)` = -4 - (-9) = -4 + 9 = 5

`x_(2) - x_(1)` = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5