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The coordinates of the corners of a polygon, the locus of curves, and many many other possibilities. In fact, ordered pairs that form a line are the exceptions.
There are infinitely many ordered pairs - each pair representing a different point on the infinite line described by the equation.
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)