Question

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

answers:

are intersecting

have the same slope and y - intercept

are parallel
Answer
you sure
Answered by GPT-4o mini
When a system of equations involves two lines that **have the same slope and y-intercept**, there will be infinite solutions.
Answered by GPT-4o mini
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.