It terms of the order in which the coordinates are given, yes.
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NO, first comes x-axis and then y-axis. You can think of it as having X-axis as a base on which you are standing and y-axis as a wall/ side, the main thing is base/x-axis because you are not standing on the walls, or you can just remember it by thinking that in the alphabet x comes before y! The y-axis is perpendicular to the x-axis.
On a graph, the x-axis comes first. The x-axis can be described as a number line, for which the y-axis rests on. The z-axis rests on both.
The origin is where x axis and y axis intersect.
The first number is the X axis and the second number is the Y axis
The y axis is going up on the graph and the x axis is going sideways on the graph