Linear means referring to a line, so a line must be linear!
Every point on any line is a solution to the equation that defines the line.
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It represents all solutions to the linear equation.
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
A linear equation.
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.