Systems of Equations: Graphing

Front

What is a system of equations?

Back

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

Front

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

Back

The system of equations has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines are the same?

Back

The system of equations has infinitely many solutions.

Front

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

Back

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

Front

Back

Front

What is the slope of a line?

Back

Front

What is the y-intercept of a line?

Back

Front

If a system of equations has one solution, what can be said about the slopes of the lines?

Back

The slopes are different.

Front

If a system of equations has no solution, what can be said about the slopes of the lines?

Back

The slopes are the same, but the lines have different y-intercepts.