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

Question

answers:

are intersecting

have the same slope and y - intercept

are parallel

Answer 1

When a system of equations involves two lines that have the same slope and y-intercept, there will be infinite solutions.

Answer 2

you sure

Answer 3

Yes, I'm sure! When two lines have the same slope and the same y-intercept, they are identical, meaning they overlap completely, resulting in infinitely many solutions.

In contrast:

• If two lines are intersecting, they typically have one unique solution (the point of intersection).
• If two lines are parallel, they have the same slope but different y-intercepts, resulting in no solutions.

So the correct answer is indeed that infinite solutions occur when the lines have the same slope and y-intercept.