Answer: The co-ordinates of point B' are (6, -13).
Step-by-step explanation: Given that triangle ABC is translated according to the following rule:

We are to find the co-ordinates of B' if the co-ordinates of the pre-image of point B are (4, -5).
Since the co-ordinates of point B are (4, -5), so the co-ordinates of point B' will be

Thus, the co-ordinates of point B' are (6, -13).