Question: The endpoints of a line segment are (8, - 16) and (4, - 4). Find the midpoint of the line segment.

A ) (-6, 10)
B ) (6, -10)
C ) (6, 10)
D ) (10, 6)

Steps to derive

1 The endpoints of the line segment has coordinates (8, - 16) and (4, - 4).

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

3 Midpoint = ((8+4) / 2, [-16+(-4)] / 2)
 [Substitute the values.]

4 (12 / 2, - 20 / 2)
 [Simplify.]

5 Midpoint = (6, -10)
 [Write the fractions in simplest form.]

6 The midpoint of the line-segment = (6, -10)



Hence the right answer is Option B

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