Can Parallel Lines Have Negative Slopes?

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Can two parallel lines have negative slopes?

Theorem 103: If two nonvertical lines are parallel, then they have the same slope. ... If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Also, the absolute values of their slopes are reciprocals.

Can lines have negative slopes?

Definition of Negative Slope Lines

A line with a negative slope is a line that is trending downward from left to right. In other words, the line's rise to run ratio is a negative value.

Elena Rostova

Elena Rostova

Lead Health, Wellness & Medical Journalist

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.