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


A ) (0, - 1)
B ) (2, - 3)
C ) (- 4, - 6)
D ) (2, 1)

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.]

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

4 (42, - 62)
 [Simplify.]

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

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



Hence the right answer is Option B

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