Understanding Graphs of Systems of Linear Equations

The video tutorial explores graphs of systems of linear equations, focusing on the types of solutions they can have. It explains unique solutions where lines intersect at one point, termed consistent independent. It also covers parallel lines that do not intersect, resulting in no solution, called inconsistent. Lastly, it discusses identical lines that overlap completely, leading to infinitely many solutions, known as consistent dependent. The tutorial emphasizes understanding these concepts and suggests noting down vocabulary for better retention.

What is the term used when two lines intersect at a single point?

• Parallel

• Consistent Dependent

• Consistent Independent

• Inconsistent

When two lines intersect at one point, what type of solution is it?

• Unique solution

• Infinite solutions

• Multiple solutions

• No solution

What do we call a system where one equation depends on the other?

• Consistent Dependent

• Inconsistent

• Unique

• Consistent Independent

What is the characteristic of parallel lines in a system of equations?

• They do not intersect

• They have infinitely many solutions

• They are the same line

• They intersect at one point

What term describes a system with no solutions?

• Consistent Dependent

• Inconsistent

• Unique

• Consistent Independent

What happens when two lines in a system are identical?

• They have no solutions

• They are parallel

• They intersect at one point

• They have infinitely many solutions

What is the term for a system with infinitely many solutions?

• Unique

• Consistent Dependent

• Inconsistent

• Consistent Independent

If two lines overlap completely, what type of system is it?

• Inconsistent

• Consistent Independent

• Unique

• Consistent Dependent