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R(0,5) and S(8, 7) are the endpoints of a line segment. What is the midpoint M of that line segment?

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Final answer:

The midpoint of the line segment with endpoints R(0,5) and S(8,7) is M(4,6).

Step-by-step explanation:

To find the midpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

So, for the given endpoints R(0,5) and S(8,7), we can find the midpoint M using the following steps:

  1. Find the average of the x-coordinates: (0 + 8) / 2 = 4
  2. Find the average of the y-coordinates: (5 + 7) / 2 = 6
  3. The midpoint is M(4,6)

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