5.2 Graphing Systems

Front

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

Back

The two lines are intersecting lines.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

Which ordered pair is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

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

Back

The two lines are the same line.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What are parallel lines in the context of linear equations?

Back

Lines that never intersect and have different slopes.

Front

What are intersecting lines in the context of linear equations?

Back

Lines that cross at exactly one point, representing a unique solution.

Front

What are the characteristics of the same line in a system of equations?

Back

They have infinitely many solutions as they overlap completely.

Front

How can you determine if a point is a solution to a system of equations?

Back

Plug the x and y values into both equations to see if they hold true.

Front

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

Back

The lines are parallel and never intersect.