No. You're actually describing the 'Cartesian Coordinate System' invented by Rene' Descartes. He's such a fascinating person, you should treat yourself to a read about him. Check out the link below;
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plane xy
True.
If Y = 0 then there is no value of X such that XY = 1.
A vertical line in the xy coordinate plane would represent the line of an equation such as x = 1 or x = -4.
penis