Solving Systems by Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

What is the solution to the system of equations represented by the point (1, 3)?

Back

(1, 3) is the solution.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution.

Front

What is the solution to the linear system represented by the point (-8, -6)?

Back

(-8, -6) is the solution.

Front

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

Back

They have one unique solution.

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no solutions.

Front

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

Back

The lines overlap completely.

Front

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

Back

By finding the point of intersection of the lines.

Front

What is the significance of the point (0, 0) in a system of equations?

Back

It is the origin and can be a solution if it satisfies both equations.