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As a mathematical question this would refer to a choice of normally one of two popular coordinate systems, the Cartesian and the polar.
Rene Descartes invented the Cartesian Coordinate System, hence the name, and Ramanujan created the coordinate graph.
cartesian coordinate isn't a system. the graphs you put on the cartesian coordinate plane can be systems. these graphs can be anything you want them to be. and they are calculate different every time. the thing to remember about cartesian coordinate planes is the you plot the points of (x,y)
The cartesian coordinate system is the basic coordinate system people are familiar with. If you were to plot a basic X Y graph, where X and Y increase towards infinity, you are graphing in the cartesian coordinate system. There are a few other popular coordinate systems for more advanced math, but they are rarely used by most people. (polar coordinate system is common for some calculus equations)
It was created by the French mathematician Rene Descartes