Solving Systems by Graphing M8

Front

What is the solution to a system of equations?

Back

The solution is any ordered pair that makes both equations true.

Front

What does it mean if two lines intersect on a graph?

Back

It means that the system of equations has a unique solution at the point of intersection.

Front

What does it mean if two lines are parallel on a graph?

Back

It means that the system of equations has no solution.

Front

How can you identify the solution to a system of equations by graphing?

Back

By finding the point where the two lines cross.

Front

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

Back

The two lines overlap completely.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Front

What does the term 'ordered pair' refer to in the context of systems of equations?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the graph.

Front

If the equations of two lines are identical, what can be said about their solutions?

Back

There are infinitely many solutions.

Front

What is the significance of the point (4, -2) in a system of equations?

Back

It is the point where the two lines intersect, representing the solution to the system.

Front

True or False: A system of equations can have more than one solution.

Back

True, if the lines are identical.