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If you mean a line segment, then yes, every line segment has a midpoint.

However, some ideas of a line define it as going on forever in a certain plane, so if is it a line without beginning or end, then it can't really have a midpoint since there is nothing to measure from. You would have to define a starting and ending point before it could have a midpoint.

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Q: Can a line have a midpoint or bisector?
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