Graphing Systems of Equations

Front

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

Back

The two lines are identical lines.

Front

What is the solution to the system of equations represented by the point (6, -2)?

Back

(6, -2) is the solution to the system.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

No solution.

Front

What does it mean if a system of equations has one solution?

Back

The two lines intersect at exactly one point.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution to the system.

Front

What is the graphical representation of a system with no solution?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines are identical and overlap completely.

Front

How can you determine if two lines are parallel from their equations?

Back

If their slopes are equal and y-intercepts are different.

Front

What is the slope of a line in the equation y = mx + b?

Back

m is the slope of the line.

Front

What does the y-intercept represent in a linear equation?

Back

The point where the line crosses the y-axis.