Graphing Systems of Equations

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

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

Back

The two lines are intersecting.

Front

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

Back

You graph both equations and identify the point where they intersect.

Front

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

Back

The solution is (-1, -1).

Front

If two lines are parallel, what can be said about the system of equations they represent?

Back

The system has no solutions.

Front

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

Back

The two lines overlap completely.

Front

What does it mean if two lines intersect at a single point?

Back

The system has exactly one solution.

Front

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

Back

If the lines are parallel and never intersect.

Front

What is the solution to the system of equations represented by the lines y = 3x - 5 and y = -2x + 1?

Back

The solution is (1, -4).

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.