3 6 Slopes of Parallel Perpendicular Lines M

  • Slides: 10
Download presentation
3 -6 Slopes of Parallel & Perpendicular Lines M 11. B. 2 2. 3.

3 -6 Slopes of Parallel & Perpendicular Lines M 11. B. 2 2. 3. 11. A Objectives: 1) To relate slope and parallel/ perpendicular lines

Slopes of Parallel Lines � If two nonvertical lines are parallel, their slopes are

Slopes of Parallel Lines � If two nonvertical lines are parallel, their slopes are equal � Any two vertical lines or horizontal lines are parallel.

Slopes of Perpendicular Lines � If two nonverticl lines are perpendicular, their slopes are

Slopes of Perpendicular Lines � If two nonverticl lines are perpendicular, their slopes are OPPOSITE, RECIPROCALS!! � Any horizontal line and vertical line are perpendicular.

Example: Check for Parallel or Perpendicular Lines � Line 1 contains P(0, 3) and

Example: Check for Parallel or Perpendicular Lines � Line 1 contains P(0, 3) and Q(-2, 5). Line 2 contains R(0, 7) and S(3, -10). Are lines 1 and 2 parallel, perpendicular, or neither?

Check for Parallel/Perpendicular Lines � Line x contains A(-4, 2) and B(0, -4). Line

Check for Parallel/Perpendicular Lines � Line x contains A(-4, 2) and B(0, -4). Line y contains C(4, 3) and D(-5, -3). Are lines x and y parallel, perpendicular, or neither? Explain

� Determine whether the lines are parallel, perpendicular, or neither. Explain 1. y =

� Determine whether the lines are parallel, perpendicular, or neither. Explain 1. y = 5 x + 4 2. y = -5 x - 4

Are the lines parallel, perpendicular, or neither? Explain. � 1. y = -2 x

Are the lines parallel, perpendicular, or neither? Explain. � 1. y = -2 x + 5 and 2 x + y = 9 � 2. 2 x + 3 y = 6 and 6 x – 4 y = 24

Example: Write equations of Parallel Lines � Write an equation in Point-Slope Form for

Example: Write equations of Parallel Lines � Write an equation in Point-Slope Form for the line parallel to y = -4 x + 3 that contains (1, -2)

Write equations of parallel lines � Write an equation in Point-Slope Form for the

Write equations of parallel lines � Write an equation in Point-Slope Form for the line parallel to y = -x + 3 that contains (-2, 5)

Equations for Perpendicular Lines � Write an equation in Point-Slope Form for a line

Equations for Perpendicular Lines � Write an equation in Point-Slope Form for a line perpendicular to y = -3 x - 5 that contains (-3, 7).

PARALLEL AND PERPENDICULAR LINES Slopes Parallel Lines ThePARALLEL AND PERPENDICULAR LINES Slopes Parallel Lines The
Slopesofof Paralleland and Perpendicular Slopes Lines Perpendicular LinesSlopesofof Paralleland and Perpendicular Slopes Lines Perpendicular Lines
Slopesofof Paralleland and Perpendicular Slopes Lines Perpendicular LinesSlopesofof Paralleland and Perpendicular Slopes Lines Perpendicular Lines
Parallel Perpendicular Lines Parallel and Perpendicular Lines TheParallel Perpendicular Lines Parallel and Perpendicular Lines The
Parallel and Perpendicular Lines Parallel and Perpendicular LinesParallel and Perpendicular Lines Parallel and Perpendicular Lines
Parallel and Perpendicular Lines Parallel Lines Two linesParallel and Perpendicular Lines Parallel Lines Two lines
Parallel and Perpendicular Assignment Parallel Lines Parallel linesParallel and Perpendicular Assignment Parallel Lines Parallel lines
Parallel and Perpendicular Lines Parallel Line Perpendicular lineParallel and Perpendicular Lines Parallel Line Perpendicular line
Parallel Perpendicular Lines Slope of Parallel Lines TwoParallel Perpendicular Lines Slope of Parallel Lines Two