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 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. 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.
The line's endpoints are A: (2, -2) and B: (6, 5)

Answer 1

To find the midpoint of a line segment defined by two points A and B, you take the average of the x-coordinates and the average of the y-coordinates of the points.

The coordinates of point A are (2, -2), and the coordinates of point B are (6, 5).

1. For the x-coordinates:
- Add the x-coordinates of A and B: \( 2 + 6 = 8 \)
- Divide by 2: \( \frac{8}{2} = 4 \)

2. For the y-coordinates:
- Add the y-coordinates of A and B: \( -2 + 5 = 3 \)
- Divide by 2: \( \frac{3}{2} = 1.5 \)

Thus, the midpoint of the line segment AB is \((4, 1.5)\).

From the responses provided, the correct interpretation regarding adding the coordinates and dividing by 2 is:

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

This response indicates that when you perform the operation, you're determining the average (midpoint) of the x-values, which is part of how you find the overall midpoint of the line segment. The full process will involve both x and y coordinates, but the statement focuses on the x-values.