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Find the midpoint of a segment AB is (5, 3).  What is the missing coordinates.  A = (2, 5) and B = (8, y)Group of answer choicesy = 3y = -2y = 1y = 5

Question

Find the midpoint of a segment AB is (5, 3).

What is the missing coordinates.
A = (2, 5) and B = (8, y)
Group of answer choices

  • y = 3
  • y = -2
  • y = 1
  • y = 5
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Solution

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula ((x1 + x2)/2, (y1 + y2)/2).

Given that the midpoint is (5, 3) and one of the endpoints is (2, 5), we can substitute these values into the formula to find the missing y-coordinate of the other endpoint.

So, we have:

(2 + x2)/2 = 5, which simplifies to x2 = 8. This matches the given x-coordinate of point B, so our substitution is correct.

(5 + y2)/2 = 3, which simplifies to y2 = 2*3 - 5 = 1.

So, the missing y-coordinate of point B is 1. Therefore, the correct answer is y = 1.

This problem has been solved

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