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Oct 15 at 14:54 comment added Will Sawin Good point. The way I would summarize this is that if we fix the $y$ variable it's linear, and as already mentioned changing the coordinates in something linear gives something linear which is therefore a graph, so in any system of coordinates in which the $y$ variable is included this is still a graph.
Oct 15 at 14:25 history answered M. Winter CC BY-SA 4.0