Answer: the coordinates of B' are (6, -13)
Justification:
1) Translating triangle ABC according to the rule (x,y) → (x + 2, y - 8) means that every single point of the triangle will be translated two units to the righ (x + 2) and 8 units downward (y - 8).
2) To find the coordinates of anay image you have to add up 2 to the x coordinate (x + 2) and subtract 8 from the y-coordinate (y - 8).
3) Peforming those simple operations to the coordinates of the point B (4, -5), you will obtain the point B':
* x' = x + 2 = 4 + 2 = 6
* y' = y - 8 = -5 - 8 = - 13
Answer: the coordinates of B' are (6, -13)