Systems of Equations: Graphing

Front

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

Back

The two lines are intersecting lines.

Front

What is the solution to the system represented by the equations: y = 2x - 4 and y = -x + 2?

Back

(6, -2)

Front

What does it indicate if a system of equations has no solution?

Back

The lines are parallel.

Front

Why do parallel lines never intersect?

Back

They have the same slopes and different y-intercepts.

Front

What is the solution to a system of equations if the lines are the same?

Back

Infinitely many solutions.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

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

Back

Two parallel lines.

Front

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

Back

Two overlapping lines.

Front

If two lines have the same slope but different y-intercepts, what type of system do they represent?

Back

No solution.

Front

If a system of equations has infinitely many solutions, what can be said about the lines?

Back

They are the same line.