A1-U4.1b Lesson Check: Solve Systems by Graphing (Special Cases)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have no solution?

Back

It means the equations represent parallel lines that never intersect.

Front

What does it mean for a system of equations to have one solution?

Back

It means the equations represent lines that intersect at exactly one point.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How can you determine if a system of equations has no solution by looking at their graphs?

Back

If the lines are parallel, the system has no solution.

Front

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

Back

The lines overlap completely, representing the same line.

Front

What is the slope of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the y-intercept of a line?

Back

The y-coordinate where the line crosses the y-axis.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at exactly one point.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.