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Question: Find the midpoint of a line segment whose endpoints are (2, - 4) and (2, - 2).


A ) (2, 3)
B ) (3, 2)
C ) (- 2, 3)
D ) (2, - 3)

Steps to derive

1 The endpoints of the line segment has coordinates (2, - 4) and (2, - 2).

2 Midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is (x1+x22, y1+y22).
 [Use the midpoint formula.]

 [Substitute the values.]
3 Midpoint = (2+22, - 4 + (- 2)2 )

 [Simplify.]
4 = (42, - 62)

 [Write the fractions in the simplest form.]
5 = (2, - 3)

6 The midpoint of the line segment is (2, - 3).



Hence the right answer is Option D

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