Use the image to answer the 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 distance between points A and B.
It finds the distance between 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 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.
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1 answer

To find the midpoint of a line segment AB, you need to take the average of the x-coordinates and the average of the y-coordinates of points A and B.

In the specific example you provided, the operation \( (6 + 2) / 2 \) calculates the average of the two y-values of points A and B if the y-coordinates are 6 and 2. This helps find the y-coordinate of the midpoint.

Thus, the correct response that relates to calculating the midpoint using the operation mentioned would be:

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

This is because you are averaging the y-values to find the midpoint's y-coordinate. The corresponding operation for the x-values would be performed separately.