A number line is a line, ray, or line segment on which every point is assigned a real number.
Above, you can three number lines.
Notice that although one of the number lines is made with a segment, it does not have just four points. There are lots of points between 1 and 2, 2 and 3, and 3 and 4. Similarly, there are lots of points between the numbers that you see for the ray and the line.
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