Essentials 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

It means they have a single point in common, 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 two lines are parallel?

Back

They never intersect and have no solutions in common.

Front

What is the solution to a system of equations?

Back

The point (x, y) where the equations intersect.

Front

What does it mean if a system has no solution?

Back

The lines are parallel and do not intersect.

Front

What is an example of a system with infinitely many solutions?

Back

Two equations that represent the same line.

Front

How can you determine if a system has one solution?

Back

If the lines intersect at exactly one point.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as rise over run.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.