To find the coordinates of point \( N' \) after translating point \( N \) located at \( (0, -6) \) up 5 units and left 2 units, we perform the following calculations:
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Translate up 5 units:
- For the y-coordinate: \(-6 + 5 = -1\)
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Translate left 2 units:
- For the x-coordinate: \(0 - 2 = -2\)
Putting these together, the new coordinates of point \( N' \) are \((-2, -1)\).
Therefore, the answer is \((-2, -1)\).