M midpoint of segment AB find coordinates of point A if B (6; -9) M (2; 5).

1. Suppose point A has coordinates (x; y).

2. Point M is the middle of the segment AB, then using the formulas for finding the coordinates of the midpoint of the segment, we will find the coordinates of point A

(6 + x) / 2 = 2;

6 + x = 2 * 2;

6 + x = 4;

x = 4 – 6;

x = -2.

(-9 + y) / 2 = 5;

-9 + y = 5 * 2;

-9 + y = 10;

y = 10 – (-9);

y = 10 + 9;

y = 19.

3. Point A has coordinates (-2; 19).

Answer: coordinates of point A (-2; 19).