Graphing Systems of Equations

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The point where the two lines intersect.

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The lines are intersecting.

Front

How many solutions does a system of parallel lines have?

Back

No solution.

Front

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Back

The lines are the same line.

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 is the graphical representation of a solution to a system of equations?

Back

The point of intersection of the lines.

Front

What is the slope of a line?

Back

The rate at which the line rises or falls, calculated as rise over run.

Front

What does it mean if two lines intersect at a single point?

Back

The system has one unique solution.