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 are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

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

Back

They have infinitely many solutions because every point on the line is a solution.

Front

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

Back

The point where the lines intersect.

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and do not intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines are the same, meaning every point on the line is a solution.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x).

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the intersection point.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.