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To find the resulting coordinates after applying the translation vector <2, -3> to the original coordinates (-2, -5), we need to add the components of the translation vector to the corresponding components of the original coordinates.
1. **Add the x-coordinates**:
\(-2 + 2 = 0\)
2. **Add the y-coordinates**:
\(-5 + (-3) = -5 - 3 = -8\)
Therefore, the resulting coordinates after the translation are \((0, -8)\).
The correct response is:
**(0,−8)**.