Understanding Slope: Definitions, Parallel and Perpendicular Lines
This text explores the mathematical concept of slope, defined as the ratio of vertical change (rise) to horizontal change (run) for non-vertical lines. It explains the conditions for parallel lines, highlighting that they share the same slope, and defines perpendicular lines as those whose slopes are negative reciprocals of each other. Additionally, it notes that horizontal and vertical lines are also considered perpendicular. This foundational understanding of slope is essential for studying lines in geometry and algebra.
Understanding Slope: Definitions, Parallel and Perpendicular Lines
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Presentation Transcript
Slope Rate of change
Definition of slope • Slope – the ratio of vertical change (the rise) to horizontal change (the run) for a nonvertical line
Parallel lines • Consider two different nonvertical lines • The lines are parallel if and only if they have the same slope
Perpendicular lines • Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. • Horizontal and vertical lines are also perpendicular.
