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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A bisector.
It is a bisector.
perpendicular bisector
A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.