To rotate the point (5, 8) 270 degrees clockwise, you can follow these steps:
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Understand the rotation: A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.
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Use the rotation formula: The transformation for a 90-degree counterclockwise rotation of a point \((x, y)\) is given by \((-y, x)\).
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Apply the formula to the point (5, 8):
- \(x = 5\)
- \(y = 8\)
- After the rotation: \[ (-y, x) = (-8, 5) \]
Thus, the new point after rotating (5, 8) by 270 degrees clockwise is \((-8, 5)\).
So the answer is \(\boxed{(-8, 5)}\).