Do parallel lines have a solution?

Understand the Problem

The question is asking if parallel lines can intersect or have a point of solution. In geometry, parallel lines are defined as lines in a plane that do not meet; thus, they have no solution as they do not intersect at any point.

More Information

Parallel lines have the same slope but different y-intercepts, which means they never meet at any point.

Tips

A common mistake is to think that parallel lines might have some form of solution. Always remember that they never intersect.

Sources

• Graphs of Parallel and Perpendicular Lines in Linear Equations - Study.com - study.com
• Applied Algebra and Trigonometry - Lumen Learning - courses.lumenlearning.com
• Do parallel lines have infinitely many solutions? - Quora - quora.com