Using the graph below, how would adding 5 and -2, then dividing by 2 help you find the midpoint of the line segment (1 point) Responses It finds the x-value that is the average between the two x-values of points It finds the x-value that is the average between the two x-values of points It finds the y-value that is the average between the two y-values of points It finds the y-value that is the average between the two y-values of points 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

1 answer

To find the midpoint of a line segment between two points, you need to average their x-coordinates and their y-coordinates separately.

In the context given, if you are adding 5 and -2 (for the y-values, for example) and then dividing by 2, this calculation gives you the average of those two y-values. So, this would help you find the y-value of the midpoint of the line segment.

Given the options you provided, the correct response would be:

It finds the y-value that is the average between the two y-values of points.

If instead you were adding two x-values and then dividing by 2, you would be finding the x-value of the midpoint. But since the question specifically mentions adding 5 and -2, the context implies you are averaging y-values.