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

Answer:

1/5

Step-by-step explanation:

Equation: $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ = $y_{2} - y_{1}$ 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