Other than a line, a segment?
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Yes. A line segment is always classified by having two endpoints, on both ends of the line.
A line that does not have a vertex on one side (continues to grow from one end) is called a ray.
No. Technically, a "line" has no ends, and goes on forever in both directions. A "line segment" has two end points, and a definite length.
A line with two end points is called a line segment:)
A line with an arrow at both ends is simply a line.