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Slope of the Line

Find the slope of the line passing through the points (-1,5) and (-8,2)

To determine the slope of the line, use the formula

  • [tex] \boxed{ \rm{m = \frac{y_2 - y_1}{x_2 - x_1} }}[/tex]

[tex]\\[/tex]

Representation:

[tex]\\[/tex]

  • [tex]\rm{(x_1, y_1) = (-1, 5)}[/tex]
  • [tex]\rm{(x_2, y_2) = (-8, 2)}[/tex]

[tex]\\[/tex]

Solution:

  • [tex]\rm{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

  • [tex]\rm{m = \frac{2 - 5}{((-8) - (-1)}}[/tex]

  • [tex]\rm{m = \frac{-3}{((-8) - (-1)}}[/tex]

  • [tex]\rm{m = \frac{-3}{-7}}[/tex]

  • [tex]\rm{m = \frac{3}{7}}[/tex]

[tex]\\[/tex]

Answer:

  • The slope is 3/7.

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Wxndy~~

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