Segment AB has endpoint A at (-2,3) and Midpoint M at (4,6). Find the coordinates (x,y ) of point B. Please show work or webmail your work to your teacher.

1 answer

The midpoint formula is given by:
(x1 + x2)/2 , (y1 + y2)/2

Given:
Endpoint A: (-2, 3)
Midpoint M: (4, 6)

Let the coordinates of endpoint B be (x, y).

Using the midpoint formula:
(x + (-2))/2 = 4 --> (x - 2)/2 = 4
Solve for x:
x - 2 = 8
x = 10

Similarly,
(y + 3)/2 = 6
Solve for y:
y + 3 = 12
y = 9

Therefore, the coordinates of point B are (10, 9).