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Question

Line segment upper A upper B is plotted on a coordinate plane. The x-axis ranges from 0 to 7 and the y-axis ranges from negative 3 to 7 both in one unit increments.

Using this graph, how would adding 6+2 then dividing by 2 help you find the midpoint of line AB¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

It finds the average distance between the two y-values of points A and B.
It finds the average distance between the two y -values of points A and B.

It finds the average distance between the two x-values of points A and B.
It finds the average distance between the two x -values of points A and B.

It finds the sole midpoint of points A and B.
It finds the sole midpoint of points A and B.

It finds the distance between points A and B.
It finds the distance between points A and B.
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Answer 1

To find the midpoint of line segment \( \overline{AB} \) on a coordinate plane, you would use the coordinates of points A and B. If you have the x-coordinates of points A and B, you can find the x-coordinate of the midpoint by adding these two x-values together and dividing by 2. The same procedure applies to the y-coordinates.

In the context of your question, if you are finding the midpoint using the operation \( 6 + 2 \) followed by dividing by \( 2 \), this represents finding the average of two numbers.

Assuming that \( 6 \) and \( 2 \) are the x-values of points A and B (or vice versa, depending on the context), the operation would yield the x-coordinate of the midpoint.

Thus, the correct answer would be:

It finds the average distance between the two x-values of points A and B.