Graphing Systems of Equations

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 intersect?

Back

They meet at a single point, which is the solution to the system.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

The lines are parallel and never intersect.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

How can you determine if a system has infinitely many solutions?

Back

If the two equations represent the same line.

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 for two lines to be parallel?

Back

They have the same slope but different y-intercepts.

Front

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

Back

By plotting the lines and identifying their intersection point.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.