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 one solution, which is the point where they cross.

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 two lines are parallel?

Back

They have no solutions because they never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The two equations represent the same line.

Front

How can you determine the solution to a system of equations graphically?

Back

By plotting the lines on a graph and finding their intersection point.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

What is the standard form of a linear equation?

Back

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

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting it into the other.