What describes parallel lines in terms of slopes?

Parallel lines are defined in terms of their slopes by the property that their slopes are equal. When two lines are parallel, they run in the same direction and never intersect, which mathematically translates to having identical slopes. For instance, if one line has a slope of 2, a parallel line will also have a slope of 2.

This relationship is fundamental in geometry and algebra, as it allows for predicting the behavior of parallel lines in various contexts, such as graphs and real-world applications. The equality of the slopes ensures that no matter how far the lines are extended, they maintain a consistent distance apart.

Understanding this concept is crucial for solving problems related to linear equations, graphing, and analyzing geometric figures where parallel lines are present.