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What is the MIDPOINT between the points (6, -4) and (2, 1)?

A) (4.12, -1.5)
B) (-1.5, 4)
C) (4, -1.5)
D) (6.4, 2.5)

1 Answer

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Final answer:

The midpoint between the points (6, -4) and (2, 1) is calculated using the averages of the x-coordinates and y-coordinates, resulting in the point (4, -1.5), which is option C.

Step-by-step explanation:

The midpoint between two points (x1, y1) and (x2, y2) in the Cartesian plane is found by taking the average of the x-coordinates and the average of the y-coordinates of the two points, which are given by the formulas:

  • Midpoint x-coordinate (Mx) = (x1 + x2) / 2
  • Midpoint y-coordinate (My) = (y1 + y2) / 2

For the points (6, -4) and (2, 1), we apply the formulas as follows:

  • Mx = (6 + 2) / 2 = 8 / 2 = 4
  • My = (-4 + 1) / 2 = -3 / 2 = -1.5

Therefore, the midpoint between the points (6, -4) and (2, 1) is (4, -1.5), which corresponds to option C.

User Kevinabraham
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