Systems of equations with the same slopes have infinitely many solutions.

a.) Always
b.) Sometimes
c.) Never

It's a.) Right?

Question

Systems of equations with the same slopes have infinitely many solutions.

a.) Always
b.) Sometimes
c.) Never

It's a.) Right?

uri · Answer

Sometimes.

anonymous · Answer

Can you please explain why, I guess I don't completely understand.

anonymous · Answer

This would be true always if they had the same y intercet since they would be on top of each other or the same line

aum · Answer

IF the two equations have the same slope but are different, then they will never intersect with each other and therefore they will have no solutions.
But if the two equations have the same slope but happened to be the same, then they will have infinite solutions.

anonymous · Answer

Okay thank you guys very much,

aum · Answer

You are welcome.