There is a consensus of mathematicians that realize this is an easy way to illustrate mathematics concepts. Business uses graphs as well to illustrate profit, loss, manufacturing quantities, and other things. Science uses it to investigate and fin relationships between variable quantities.
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Yes, almost all the time. And when it is not coordinate planes it is coordinate hype-spaces (more than just the 2 dimensions that the coordinate plane allows).
Yes, they are.
It has to do with where the x and y coordinates are positive and negative.
It was Rene Decartes
Coordinate planes