A straight line.
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It represents all solutions to the linear equation.
It is the locus of all points whose coordinates satisfy the equation of the line.
when you represent any equation in a graph it is said to be linear.Accordin to me , not having a definite equation , is said to be non-linear.
There is no "this statement" associated with the question, but the maximum number of points which lie of the graph of a linear equation in two variables is infinite.
The graph will be a line.