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:

1/5

Step-by-step explanation:

Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

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

[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4

[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question

[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3

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

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later

[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5

[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25

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

5/25, simplify, 1/5

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