When a point is translated, some constant is added the coordinate.
Here, the "from" x-coordinate is -4, and the "to" x-coordinate is 1. The amount added (a) is found from
-4 + a = 1
a = 1 -(-4)
a = 5
The "from" y-coordinate is 6, and the "to" y-coordinate is 3. The amount added (b) is found from
6 + b = 3
b = 3 - 6
b = -3
So, the translation rule is
(x, y) ⇒ (x+5, y-3)