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 if two lines are parallel?

Back

They never intersect and have the same slope.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

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 they overlap completely.

Front

How can you determine if two lines are intersecting?

Back

By checking if their slopes are different.

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 is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.