What it means graphically for a system to have infinite solutions

Answer 1

Graphically, a system of equations with infinite solutions means that the equations represent parallel lines that overlap perfectly, creating one single line. This occurs when the two equations in the system have the same slope and the same y-intercept. As a result, the two lines are essentially the same line, and any point on this line is a solution to the system. This can be represented graphically by a single line that encompasses all possible solutions to the system.