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Indeterminate. Since the information is not enough, we don't know what are points x and y. We are only give "line xy" without some extra knowledge about the problem.
The line is x=0 otherwise known as the y-axis.
Yes, the world "linear" and "line" have the same root.
A vertical line in the xy coordinate plane would represent the line of an equation such as x = 1 or x = -4.
The answer depends on whether xy are commutative numbers or operators in a permutation group.