It is polite, it helps to maintain order in a civilized society, and it keeps the other polite, civilized people in line from beating the snot out of you.
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It is used when working out a straight line equation.
no they form a line segment
I am not sure what situation you are talking about; usually such curves should be smooth.
no 2 points form a line, 3 points form a plane
Line segments that form a polygon are called its sides.