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1 vote
What is the midpoint of the segment shown below?

(16,5) (-6,-9)

A. (10,-4)
B. (5,-4)
C. (5,-2)
D. (10,-2)


2 Answers

5 votes

Answer:

The midpoint is (5,-2)

Explanation:

User Christian Schulz
by
5.8k points
2 votes

Answer:

The midpoint of these two points would be (5,-2).

Explanation:

The distance between the y-coordinates is 5+9 or 14. 14÷2=7, so the middle of those two points will have a y-coordinate of (-9+7), or -2.

To find the x-coordinate, it is the same process. 16+6=22. You are basically finding the average of the two numbers in this process, which is why you are dividing by 2. 22÷2=11.

Pick an x-coordinate to add this value on to. If you pick the first point it is important to remember that you should subtract since the other point has a smaller x-value, but you would add for the second ordered pair, much for the same reason. With this in mind the x-coordinate of the midpoint would be 16-11=5.

This means that the final answer would be (5,-2)

User Jenish Zinzuvadiya
by
6.0k points