3-8 slopes of parallel and perpendicular lines. slopes of parallel lines if two nonvertical lines...

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3-8 Slopes of Parallel and Perpendicular Lines

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Problem 1: Checking for Parallel Lines

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Page 1: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

3-8 Slopes of Parallel and

Perpendicular Lines

Page 2: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Slopes of Parallel Lines• If two nonvertical lines are parallel,

then their slopes are equal• If the slopes of two distinct

nonvertical lines are equal, then the lines are parallel• An two vertical or horizontal lines are

parallel

Page 3: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 1: Checking for Parallel LinesAre lines parallel? Explain!

Page 4: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 2: Writing Equations of Parallel Lines

What is an equation of the line parallel to that contains

Page 5: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 2: Writing Equations of Parallel Lines

What is an equation of the line parallel to that contains

Page 6: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Slopes of Perpendicular Lines

• If two nonvertical lines are perpendicular, then the product of their slopes is –1• If the slope of two lines have a

product of –1, then the lines are perpendicular• Any horizontal line and vertical line

are perpendicular

Page 7: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 3: Checking for Perpendicular Lines

The two lines are neither horizontal nor vertical. Are they perpendicular?

Page 8: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 4: Writing Equations of Perpendicular Lines

What is an equation of the line perpendicular to that contains

Page 9: 3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes

Problem 4: Writing Equations of Perpendicular Lines

What is an equation of the line perpendicular to that contains