To translate the line segment with endpoints (0, 0) and (5, 4) up 3 units and left 2 units, you will adjust the coordinates of each endpoint accordingly.
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For the endpoint (0, 0):
- Move up 3 units: \(0 + 3 = 3\)
- Move left 2 units: \(0 - 2 = -2\)
- The new endpoint is (−2, 3).
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For the endpoint (5, 4):
- Move up 3 units: \(4 + 3 = 7\)
- Move left 2 units: \(5 - 2 = 3\)
- The new endpoint is (3, 7).
So, the new endpoints are: The new endpoint for (0, 0) is: (−2, 3). The new endpoint for (5, 4) is: (3, 7).