To determine the points that are 4 miles to the north or south of the post office located at (4, -2), we'll adjust the y-coordinate of the post office location.
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North of the post office: Moving north means we add 4 to the y-coordinate. \[ \text{New coordinates} = (4, -2 + 4) = (4, 2) \]
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South of the post office: Moving south means we subtract 4 from the y-coordinate. \[ \text{New coordinates} = (4, -2 - 4) = (4, -6) \]
Thus, the points that are 4 miles to the north and south of the post office are:
- North: (4, 2)
- South: (4, -6)
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