The midpoint of AB is (2, 4) Point A is at (7, 2) where is point B??

A. (4,2)
B. (5,2)
C. (-3,6)
D. (6,-3)

1 answer

To find the midpoint of AB, we average the x-coordinates and the y-coordinates of A and B separately.

The x-coordinate of A is 7 and the x-coordinate of the midpoint is 2. To find the x-coordinate of B, we can set up the equation:

(7 + x-coordinate of B) / 2 = 2

Multiplying both sides by 2 gives:

7 + x-coordinate of B = 4

Subtracting 7 from both sides gives:

x-coordinate of B = -3

The y-coordinate of A is 2 and the y-coordinate of the midpoint is 4. To find the y-coordinate of B, we can set up the equation:

(2 + y-coordinate of B) / 2 = 4

Multiplying both sides by 2 gives:

2 + y-coordinate of B = 8

Subtracting 2 from both sides gives:

y-coordinate of B = 6

Therefore, point B is at (-3, 6).

The correct answer is C. (-3, 6).