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 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. 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.

Answer 1

To find the midpoint of line segment \( AB \) using the coordinates of points \( A \) and \( B \), you calculate the average of the x-coordinates and the average of the y-coordinates.

If you have the x-coordinates of points \( A \) and \( B \) as 6 and 2, adding these two numbers results in 8. Dividing by 2 gives you the average (or midpoint) of the x-coordinates:

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

This process finds the x-coordinate of the midpoint.

The correct response to your question would be:

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

This means it helps you determine the x-coordinate of the midpoint of line \( AB \). Similar steps would be carried out for the y-coordinates if they were provided.