Systems of Equations: Graphing

Front

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

Back

The two lines intersect at exactly one point.

Front

What are the characteristics of parallel lines in a system of equations?

Back

Parallel lines have no points of intersection, meaning there is no solution.

Front

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

Back

The two lines are the same line, overlapping each other.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

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

Back

Two lines that intersect at a single point.

Front

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

Back

Two parallel lines that never meet.

Front

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

Back

Two lines that lie on top of each other.

Front

If the equations of two lines are identical, how many solutions does the system have?

Back

Infinitely many solutions.

Front

Back

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point where the two lines intersect.