Systems: Special Cases

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

Same lines.

Front

What are lines that every point is common and are right on top of each other when graphed called?

Back

Coincident Lines.

Front

Which two lines show a system with no solution?

Back

Purple and Green.

Front

What happens when you graph the exact same equation twice?

Back

You will have infinite solutions.

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 two lines to be parallel?

Back

They never intersect and have the same slope.

Front

What does it mean for two lines to be coincident?

Back

They lie on top of each other and have infinitely many solutions.

Front

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

Back

Intersecting lines.

Front

What is the definition of skew lines?

Back

Lines that do not intersect and are not parallel, existing in different planes.