Question

If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?


The lines intersect at one point.



The lines are parallel.



The lines are the same line.



The lines cannot be graphed.

Answer 1

If a system of linear equations has an infinite number of solutions, then the lines represented by those equations are the same line. This means that every point on the line is a solution to the system of equations. Therefore, the correct choice is:

**The lines are the same line.**