## parallel lines

### lines in the same plane that never intersect

Parallel lines are two or more lines that are equidistant from one another and never intersect. They have the same slope but different y-intercepts. In other words, they maintain a constant distance apart but never cross each other.

Parallel lines play an important role in various areas of mathematics and science, including geometry, trigonometry, and physics. They are often used in constructions, proofs, and calculations involving angles, symmetries, and distances.

Two common ways to identify parallel lines are through their equations or through their visual appearance. If two lines have the same slope, they are parallel. Visually, parallel lines appear as straight lines that run parallel to each other.

It is important to note that while parallel lines never intersect, they can still have the same endpoint, leading to the creation of a line segment or ray. Additionally, two or more planes can also be parallel, which means that they never intersect in three-dimensional space.

In summary, parallel lines are lines that never intersect and have the same slope. They play a significant role in various fields and are identified through their equations or visual appearance.

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