5-2: Solve Systems by Graphing

Front

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

Back

The graph of the system will show parallel lines that never intersect.

Front

What is the solution to a system of equations represented graphically?

Back

The point where the two lines intersect.

Front

How many solutions does a system of equations have if the lines intersect at one point?

Back

One solution.

Front

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

Back

The system has infinitely many solutions.

Front

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

Back

(1, 3).

Front

What type of lines represent a system with no solution?

Back

Parallel lines.

Front

If a system of equations has infinitely many solutions, how do the lines behave?

Back

They are identical lines.

Front

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

Back

Two lines that intersect at a single point.

Front

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

Back

The values of the variables that satisfy all equations in the system.

Front

If two lines are parallel, what can be said about their slopes?

Back

They have the same slope.