Point P' is the image of P(5,-5) under a translation by 2 units to the left and 5 units up.

What are the coordinates of P'?

The coordinates of would be .

Step-by-step explanation:

The two points and are on a Cartesian plane.

By convention, the positive -axis on a Cartesian plane points to the right. As a result,

Moving a point to the right by units is the same as adding to its -coordinate. If the point was initially at , it would be moved to .Moving a point to the left by units is the same as subtracting from its -coordinate. If the point was initially at , it would be moved to .

Also by convention, the positive -axis on a Cartesian plane points upwards. Similarly,

Moving a point upwards by units is the same as adding to its -coordinate. If the point was initially at , it would be moved to .Moving a point downwards by units is the same as subtracting from its -coordinate. If the point was initially at , it would be moved to .

In this case,

Point was initially at . is at after it is moved to the left by units. That's the same as . is at after it is moved upward by units. That's the same as .

Therefore, the coordinates of would be .