The midpoint M of AB has coordinates (4,9).  If the coordinates of A are (2,8), what are the coordinates of B?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Since M is the midpoint of a linear segment, then by definition the segment from A to M will have the same slope as the segment from M to B.

If we find the slope of AM, and apply it to M, it will lead us to B.

Comparing M...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

Since M is the midpoint of a linear segment, then by definition the segment from A to M will have the same slope as the segment from M to B.

If we find the slope of AM, and apply it to M, it will lead us to B.

Comparing M and A, we find that there is a +2 change in X, and a +1 change in Y. All we need to do is apply these changes to the coordinates of M;

4(+2), 9(+1)

B = 6,10

Approved by eNotes Editorial Team