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What is the midpoint of the segment below?

What is the midpoint of the segment below?-example-1

2 Answers

3 votes

Answer:

C

Explanation:

Using the midpoint formula

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ )

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (2, 3)

midpoint = [0.5(- 3 + 2), 0.5(- 2 + 3) ]

= [ 0.5(- 1), 0.5(1) ] = (- 0.5, 0.5 ) → C

answered
User Mostafa Monowar
by
8.9k points
1 vote

Hello!

When you're finding the midpoint, you're looking for the point on the line in the middle of the two endpoints.

To do this, all you have to do is find the number in between the two x coordinates, and between the two y coordinates.

The two x coordinates are -3 and 2. The number perfectly in between these two is -0.5, meaning that the x coordinate of our midpoint is -0.5. The two y coordinates are -2 and 3, and the number perfectly in between these is 0.5, so the y coordinate is 0.5.

Therefore, your answer is C, (-0.5, 0.5).

Hope this helps!

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