When a system of equations involves two lines that blank, there will be infinite solutions

are intersecting

have the same slope and y-intercept

are parallel

1 answer

When a system of equations involves two lines that have the same slope and y-intercept, there will be infinite solutions. This means that the two lines are actually the same line, coinciding completely.

On the other hand:

  • If the lines are intersecting, there is exactly one solution where they cross.
  • If the lines are parallel, there are no solutions because they never intersect.