3.5 Slopes of Lines
Definitions:
Rise - the difference in the y-values of two points on a line
Run- the difference in the x-values of two points on a line
Slope - the ratio of rise to run for a line. The equation for slope (m) is :
Definitions:
Rise - the difference in the y-values of two points on a line
Run- the difference in the x-values of two points on a line
Slope - the ratio of rise to run for a line. The equation for slope (m) is :
Theorems:
Parallel Lines Theorem - In a coordinate plane, two non-vertical line are parallel if and only if they have the same slope. Any 2 vertical lines are parallel
Perpendicular Lines Theorem - In a coordinate plane, two non-vertical lines are perpendicular if and only if he product of their slopes is -1. Vertical and horizontal lines are parallel
Examples:
Parallel Lines Theorem - In a coordinate plane, two non-vertical line are parallel if and only if they have the same slope. Any 2 vertical lines are parallel
Perpendicular Lines Theorem - In a coordinate plane, two non-vertical lines are perpendicular if and only if he product of their slopes is -1. Vertical and horizontal lines are parallel
Examples: