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What is the midpoint of the line segment AB?

What is the midpoint of the line segment AB?-example-1

1 Answer

4 votes

Answer:

(-1, -7)

Explanation:

You want the midpoint of segment AB with end points A(-3, -5) and B(1, -9).

Midpoint formula

The midpoint has coordinates that are the average of the end point coordinates:

M = (A +B)/2

M = ((-3, -5) +(1, -9))/2 = (-3+1, -5-9)/2

M = (-2, -14)/2 = (-1, -7)

The midpoint of AB is (-1, -7).

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Additional comment

On the graph, you notice the points are 4 units apart horizontally, and 4 units apart vertically. Dividing each of those measures in half tells you the midpoint is 2 units horizontally and vertically from either end.

A +(2, -2) = (-3 +2, -5 -2) = (-1, -7) . . . . location of midpoint relative to A

B +(-2, 2) = (1 -2, -9 +2) = (-1, -7) . . . . . location of midpoint relative to B

User Sreenath Nannat
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