127k views
2 votes
Point A is at (-2, -7) and point M is at (2.5, -1.5).

Point M is the midpoint of point A and point B.
What are the coordinates of point B?

User Hudy
by
6.1k points

2 Answers

3 votes

Answer:

Give more points

Explanation:

User Atomicus
by
6.3k points
5 votes

Answer:

B = (7, 4)

Explanation:

B = 2M -A = 2(2.5, -1.5) -(-2, -7)

B = (5+2, -3+7)

B = (7, 4)

__

Derivation

You know the midpoint is calculated from ...

M = (A+B)/2

Solving for B, we get ...

2M = A+B

B = 2M-A . . . . the formula we used above

User DJViking
by
6.1k points