5.2 Graphing Systems

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are the same line.

Front

What does it mean if a system of linear equations has no solution?

Back

The two lines are parallel lines.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

At what point do the lines y = 2x + 1 and y = 4x - 1 intersect?

Back

(1, 3)

Front

If two lines are parallel, how many solutions does their system have?

Back

No solutions.

Front

If two lines are the same, how many solutions does their system have?

Back

Infinitely many solutions.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

What is the graphical representation of a system with no solutions?

Back

Two parallel lines.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines.