Two. Two points determine a line. Three points determine a plane.
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2 points
how do you identify points of contention
2
depends on the position of the points if points are collinear, we have just only one line, the minimum number. If points are in different position (if any of the two points are not collinear) we have 21 lines (7C2), the maximum number of lines.
Yes, ordered pairs identify points in a coordinate plane. If that doesn't answer your question, please restate it (say it another way).