Respuesta :

igoroleshko156

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Answer:  [tex]\textsf{-3/10}[/tex]

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Given:  [tex]\textsf{Points (-4, 5) and (6, 2)}[/tex]

Find:  [tex]\textsf{Slope of the line that goes between the points}[/tex]

Solution:  In order to determine the slope of a line we need to follow the slope formula to determine it.  Just plug in the values and simplify.

Plug in the values

  • [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
  • [tex]m = \frac{2 - 5}{6 - (-4)}[/tex]

Simplify the expression

  • [tex]m = \frac{-3}{6 + 4}[/tex]
  • [tex]m = -\frac{3}{10}[/tex]

Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.

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