A line.
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It is called as a plain.
A flat surface that extend infinitely in all directions is called a plane.
It is a line.
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For any line, there needs to be two points. If the line passes through points and extends in both directions forever, it's a line. If the line just goes between the two points, its called a line segment. If the line goes through both points but only extends in one direction, it's a ray.