Graphing Systems of Equations

Front

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

Back

The two lines intersect at one point.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the solution to the system of equations represented by the lines that intersect at (1, -4)?

Back

(1, -4)

Front

What is the solution to the system of equations represented by the lines that intersect at (1, -1)?

Back

(1, -1)

Front

What is the solution to the system of equations represented by the lines that intersect at (6, -2)?

Back

(6, -2)

Front

What are parallel lines in the context of systems of equations?

Back

Parallel lines have no solutions as they never intersect.

Front

What does it mean if two lines are the same line in a system of equations?

Back

There are infinite solutions since every point on the line is a solution.

Front

How can you determine the solution of a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

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

Back

The lines are parallel and do not intersect.

Front

What is the graphical representation of a system with infinite solutions?

Back

The lines overlap completely, representing the same line.