Graphing Systems of Equations

Front

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

Back

The two lines intersect at one point.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

Solve by graphing: y = 2x + 1 and y = 4x - 1. What is the solution?

Back

(1, 3)

Front

Solve the following system by graphing: y = 2x + 4 and y = -x + 2. What is the solution?

Back

(4, 2)

Front

What is the solution to the system: y = x - 2 and y = -x + 1?

Back

(1, -1)

Front

What are parallel lines in the context of linear equations?

Back

Lines that never intersect and have the same slope.

Front

What are intersecting lines in the context of linear equations?

Back

Lines that cross each other at one point, indicating one solution.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system with infinite solutions?

Back

The two equations represent the same line.

Front

How do you find the solution of a system of equations graphically?

Back

By identifying the point where the two lines intersect.