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

Question

Possible Answers:
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 sole midpoint of points A and B. It finds the sole midpoint 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 distance between points A and B.

Answer 1

To find the midpoint of line segment AB (or points A and B) on a graph, you can use the formula for the midpoint, which involves averaging the x-coordinates and the y-coordinates of the two points.

In this case, if you have added 6 (the x-coordinate of point A) and 2 (the x-coordinate of point B), the division by 2 is used to find the average of the x-coordinates of points A and B:

$$\text{Midpoint x-coordinate}=\frac{x_A+x_B}{2}=\frac{6+2}{2}=4$$

Similarly, you would apply the same process to the y-coordinates of points A and B to find the y-coordinate of the midpoint.

Thus, the correct interpretation of adding the x-coordinates (6 and 2) and then dividing by 2 is that:

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

So the correct answer would be: It finds the average distance between the two x-values of points A and B.