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What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.

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Akposevictoridn

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

  • The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given two points:

(5,−10) and ( 11 , − 12 )

  • Let,

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

  • Substitute

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

https://brainly.com/question/3493733

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