Translate the line segment with endpoints (0,0) and (5,4) up 3 units and left 2 units. What are the new endpoints?

The translation involves moving the line segment up 3 units and left 2 units.

The first endpoint of the line segment (0,0) is moved up 3 units, resulting in the new endpoint (0,3).
The second endpoint of the line segment (5,4) is moved up 3 units and left 2 units.
Moving up 3 units gives us (5,7), and moving left 2 units gives us the final new endpoint: (3,7).
Therefore, the new endpoints of the translated line segment are (0,3) and (3,7).