When a system of equations involves two lines that

, there will be infinite solutions.

have the same slope and y-intercept
are intersecting
are parallel

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

When a system of equations involves two lines that have the same slope and y-intercept, there will be infinite solutions. This is because the two lines are actually the same line, and therefore any point on that line is a solution to the system.

In contrast:

  1. If the lines are intersecting, there will be exactly one solution (the point of intersection).
  2. If the lines are parallel, there will be no solutions, as parallel lines never meet.