Question

janine tells her friend that ordered pairs that have an x -coordinate of 0 lie on the x-axis. she uses the orgin as an example. describe janine's error. use a counterexample to explain why janine's statement is false

Answer 1

Janine's example of the origin is correct; however, not all x-coordinates that are 0 lie on the x-axis. For example, the coordinate (0,5) describes a point of a plane that is on the Y-axis only, but the x-coordinate is 0. In fact, the only x-coordinate that is 0 and on the x-axis is the origin.

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