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

Question

(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 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.

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

Answer 1

Adding the coordinates of points A and B (i.e., \(6 + 2\)) and then dividing by 2 helps to find the midpoint of line segment \(\overline{AB}\) because it calculates the average of the x-values (or y-values) of the points.

In this case, if you are using \(6 + 2\) as the x-coordinates of points A (6) and B (2), then you find the average:

\[ \text{Midpoint x-coordinate} = \frac{6 + 2}{2} = \frac{8}{2} = 4 \]

This means:

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