What is the midpoint of the vertical line segment graphed below? (5, 4) 5 (5, -5)?

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04-11-2022
Mathematics

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What is the midpoint of the vertical line segment graphed below? (5, 4) 5 (5, -5)?

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TydusN73111 TydusN73111 · Answer 1 · 2022-11-04T02:16:36-04:00

TydusN73111 TydusN73111

04-11-2022

ANSWER

(5, -0.5)

EXPLANATION

If the segment is vertical, then the midpoint will have the same x-coordinate: 5. The y-coordinate is half the distance between the y-coordinates of the endpoints of the segment:

[tex]d=4-(-5)=4+5=9[/tex]

The y-coordinate of the midpoint is:

[tex]4-\frac{d}{2}=4-\frac{9}{2}=4-4.5=-0.5[/tex]

So the midpoint is (5, -0.5)

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