u/IdonotevenLB

I can't find a definite answer. Per a Nelson publishing textbook, "the equation" for a Cartesian equation of a line in 2-space is Ax + By + C = 0, but my personal intuition is that this is a definition for the textbook, not in general.

I argue that y = mx + b and Ax + By = C (which I know are called slope-intercept and standard form) are also Cartesian Equations because they use the Cartesian coordinate system.

I can't seem to find a definite "this is the standard way to write a 'Cartesian equation'" searching online. Am I just ignorant of the fact?