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Verified Answer :

Answer:

Slope = 2

Step-by-step explanation:

  1. (x,y) ->(-1,1)
  2. (x,y) -> (1,5)

        5 - 1 = 4

        1 - (-1) = 2

         4/2 = 2

The slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.

Recall:

  • Slope (m) = rate of change of y / rate of change of x
  • Slope (m) = \(\mathbf{\frac{y_2 - y_1}{x_2 - x_1}}\)

  • Given the endpoints of a line as:

(-1, 1) and (1, 5)

  • Let,

\((-1, 1) = (x_1, y_1)\\\\(1, 5) = (x_2, y_2)\)

  • Plug in the values

Slope (m) = \(\frac{5-1}{1-(-1)}\)

Slope (m) = \(\frac{4}{2}\)

Slope (m) = 2

In summary, the slope(m) of the line segment whose endpoints are (-1, 1) and (1, 5) is: 2.

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