Question

A town is mapped on a coordinate grid. The library is located at point (-3, 9) and the museum is located at
point (8, 2).
Where is the midpoint of the line segment whose endpoints are the library and the museum?
O (-5.5, 5.5)
O (-5.5, 3.5)
O (2.5, 3.5)
O (2.5, 5.5)

Answers

  1. Applying the Midpoint Formula, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).

    What is the Midpoint Formula?

    To find the coordinates of the midpoint between two endpoints on a coordinate plane, the midpoint formula that is used is expressed as: M[(x2 + x1)/2, (y2 + y1)/2].
    Given the following coordinates:
    The library is located at point (-3, 9)
    The museum is located at point (8, 2), therefore, let:
    (-3, 9) = (x1, y1)
    (8, 2) = (x2, y2)
    Midpoint = M(x, y)
    Substitute the values into M[(x2 + x1)/2, (y2 + y1)/2]:
    M(x, y) = [(8 + (-3))/2, (2 + 9)/2]
    M(x, y) = (5/2, 11/2)
    M(x, y) = (2.5, 5.5)
    Thus, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).
    Learn more about the Midpoint Formula on:
    #SPJ1

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