Systems of Equations Graphing (Math)

Front

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

Back

The graph will show parallel lines.

Front

What is the solution to the system of equations represented by the lines on a graph?

Back

The solution is the point where the two lines intersect.

Front

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

Back

It means the system of equations has one unique solution.

Front

What is the solution to the system of equations if the lines intersect at (1, 3)?

Back

The solution is (1, 3).

Front

What is the solution to the system of equations if the lines intersect at (-3, -8)?

Back

The solution is (-3, -8).

Front

How many solutions does a system of equations have if the lines are parallel?

Back

The system has no solution.

Front

What does it mean if two lines are skew?

Back

Skew lines do not intersect and are not parallel, meaning the system has no solution.

Front

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

Back

The solution is (1, -1).

Front

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

Back

The lines overlap completely.

Front

How can you determine the number of solutions in a system of equations by looking at the graph?

Back

Count the number of intersection points: one point means one solution, no points means no solution, and infinite points mean infinitely many solutions.