Solve System of Equations by 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 for a system of equations to have one solution?

Back

The graphs of the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

The graphs of the equations are parallel and never intersect.

Front

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

Back

The graphs of the equations are the same line, overlapping completely.

Front

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

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the graphical representation of intersecting lines?

Back

Two lines that cross each other at one point.

Front

What is the graphical representation of parallel lines?

Back

Two lines that run alongside each other and never meet.

Front

What is the graphical representation of the same line?

Back

Two lines that lie on top of each other, representing the same equation.

Front

How do you graph a linear equation?

Back

By finding at least two points that satisfy the equation and connecting them with a straight line.

Front

What is the slope of a line?

Back

The rate at which the line rises or falls, calculated as the change in y over the change in x.