Triangle abc is translated according to the rule (x, y) arrow (x+2,y-8) if the coordinates of the pre image of point b are (4,-5) what are the coordinates of b’?

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

the coordinates of B' are (6, -13)