Systems of Equations

The lines intersect

The lines don't intersect

The lines are on top of each other

The place where the line intersects is at an ordered pair

Write the orderd pair in the form of (x,y).

The slopes of the two lines must be different.

The lines must be parallel

If the lines are parallel, we can write 'NO SOLUTION'

Parallel lines have the SAME SLOPE but DIFFERENT y-intercepts

You should only see one line even though there are 2 equations.

When this situation occurs, you can write "INFINITE SOLUTIONS"

The 2 equations have to be mathematically the equal to one another for the lines to be on top of one another.