Solving Systems by Graphing

Front

What is a system of linear equations?

Back

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

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How do you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect on the graph.

Front

Back

A straight line with a slope of 2 and a y-intercept of -5.

Front

Back

The slope is -\frac{3}{2}.

Front

If two lines are graphed and do not touch, what can be said about their solutions?

Back

The system has no solution.

Front

Back

The point where the two lines intersect.

Front

What happens when you graph the same equation twice?

Back

You will have infinitely many solutions.