Solving Systems of Equations 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

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means the lines intersect at exactly one point.

Front

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

Back

It means the lines are the same line, overlapping each other.

Front

How do you determine the solution to a system of equations by graphing?

Back

By plotting the lines on a graph and identifying the point where they intersect.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the values of the variables that satisfy all equations in the system.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

How can you tell if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis.