Special Systems of equations

Front

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

Back

The graph consists of the same lines.

Front

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

Back

The graph consists of parallel lines.

Front

What can be said about the slopes and y-intercepts of two equations in a system with no solution?

Back

They have the same slopes and different y-intercepts.

Front

What can be said about the slopes and y-intercepts of two equations in a system with infinitely many solutions?

Back

They have the same slopes and the same y-intercepts.

Front

What does the graph of a system of equations with one solution look like?

Back

The graph consists of intersecting lines.

Front

Define a system of equations.

Back

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

Front

What is the solution of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What does it mean if two lines are parallel in the context of a system of equations?

Back

The system has no solution.

Front

What does it mean if two lines are the same in the context of a system of equations?

Back

The system has infinitely many solutions.

Front

What is the significance of the slopes of two lines in a system of equations?

Back

The slopes determine whether the lines intersect, are parallel, or are the same.