Segment AB has endpoint A at (-2,3) and Midpoint M at (4,6). Find the coordinates (x,y ) of point B.

Answer 1

To find the coordinates of point B, we can use the midpoint formula.

The midpoint formula is given by:

(x1 + x2)/2, (y1 + y2)/2

In this case, (x1, y1) represents the coordinates of endpoint A and (x2, y2) represents the coordinates of point B.

Plugging in the given values, we have:

((-2 + x2)/2, (3 + y2)/2) = (4, 6)

Simplifying, we get:

(-2 + x2)/2 = 4

3 + y2 = 2(6)

-2 + x2 = 8

3 + y2 = 12

Solving these equations, we find:

x2 = 10

y2 = 9

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