Looking at line XY and X'Y', The coordinates are
X(- 4, - 9) Y(- 5, - 5)
X'(- 1, 0) Y'(- 2, 4)
Looking at the point X,
There was a horizontal movement, 3 units to the right from - 4 to - 1
Also, there was a vertical movement, 9 units upwards from - 9 to 0
Looking at the point Y,
There was a horizontal movement, 3 units to the right from - 5 to - 2
Also, there was a vertical movement, 9 units upwards from - 5 to 4
Writing the transition rule, it becomes
(x, y) (x + 3), (y + 9)