Concept

Collinear

Any set of two or more points that lie on the same line are said to be collinear.

In this illustration, A,A, B,B, and CC are all considered to be collinear while DD does not lie on the same line as the other points.

However, since any two points can be used to define a line, DD is still considered to be collinear with the other points individually. Therefore, there are 44 sets of collinear points on the graph. {A,B,C}{A,D}{B,D}{C,D}\begin{aligned} &\{A,B,C\}\\ &\{A,D\}\\ &\{B,D\}\\ &\{C,D\} \end{aligned}

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