does parallel lines on a graph mean no solution infinite solutions or something else

1 answer

When two lines on a graph are parallel, it means that they never intersect each other. In terms of a system of equations, parallel lines correspond to the case of no solution. This is because there is no common point that satisfies both equations simultaneously.

On the other hand, if two lines coincide and overlap completely, they are also considered parallel. In this case, the lines have infinite solutions because every point on one line is also on the other line.