Question

Question Use the image to answer the question. 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 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 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 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.

Answer 1

To find the midpoint of a line segment defined by points A and B, you calculate the average of the x-coordinates and the y-coordinates of those points. The operation 6 + 2 gives you the sum of the x-coordinates (let's hypothetically say point A is at (6, y1) and point B is at (2, y2)). Then, by dividing by 2, you get the average of these x-coordinates, which represents the x-coordinate of the midpoint.

In this context, if you are calculating using x-coordinates, the statement that best explains this process is:

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

This describes how you are determining the x-coordinate of the midpoint. For the y-coordinates, a similar process would be applied to find the y-coordinate of the midpoint. Thus, the calculation in question helps in finding the coordinate values that give the midpoint of the line segment AB.