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It is the locus of all points whose coordinates satisfy the equation of the line.
There are infinitely many points on any line and it is impossible to list them. The points are those whose x and y coordinates satisfy the given equation.
You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.
It could represent a point whose coordinates do satisfy the requirements of the function.
The definition of a line depends on the context, because mathematicians have developed geometries other than the familiar Euclidean geometry.The classic definition of a line would be a geometric object that is an infinitely long straight path that has no thickness. In coordinate geometry, a line is defined as the set of points whose coordinates satisfy a linear equation.