Each ordered pair is made up of two numbers. A linear graph has an infinite number of pairs. An easy way to see this is look at the line y=x. This is a linear graph and any two of the same numbers will work! So there are an infinite number of ordered pairs.
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A coordinate plane has infinitely many ordered pairs: each and every point in the plane is represented by an ordered pair. There may be a small number of points that are identified for a specific reason: for example the vertices of a triangle or quadrilateral and so you may have a few ordered pairs that are specifically labelled.
A linear relation is a straight line. A non-linear relation is not - it mayor may not be be a curve.
An ordered pair, depending on the exact kind of math you're doing, may represent a point on a graph, a piece of data, etc. In elementary algebra, an ordered pair generally describes a point on a graph in the format (x, y).
A ordered pair is one of many ways in which a function may be defined. The function maps the element in the first position of an ordered pair to the second element in that pair.
Almost every graph shows some relationship. The relationship may besimple or complicated,linear, quadratic or more complicated,one-to-one or one-to-many,exact or approximate.