Graphing Systems of Inequalities and 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 in a system of equations?

Back

It means there is no solution, as the lines never intersect.

Front

What does it mean if two lines are the same in a system of equations?

Back

It means there are infinite solutions, as every point on the line is a solution.

Front

What does it mean if two lines intersect in a system of equations?

Back

It means there is one unique solution, the point where the lines cross.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never meet, indicating no solution.

Front

How can you determine if a system of equations has infinite solutions?

Back

If the equations represent the same line, every point on the line is a solution.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

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

Front

What does a positive slope indicate about a line?

Back

It indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

It indicates that as x increases, y decreases.