Parallel and Perpendicular

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Parallel and Perpendicular Lines
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Presentation transcript:

Parallel and Perpendicular

These lines have the same slope (the same m) Ex: y=4x+2 y=4x-8 Parallel Lines These lines have the same slope (the same m) Ex: y=4x+2 y=4x-8

The slopes are completely flipped (Opposite reciprocal). Perpendicular The slopes are completely flipped (Opposite reciprocal). Ex: y=5x+8 y=− 1 5 x+2

Writing Parallel and Perpendicular equations y= 3 4 x+5 Parallel: y= 3 4 x+[not 5] Perpendicular: y= 4 3 x+5

Example 3 A line passes through the point (12,5) and is parallel to the graph of y= 2 3 𝑥−1. Write your answer in slope-intercept form. y-5= 2 3 (x-12) y-5= 2 3 x-8 y= 2 3 x-3

A line passes through the point (12,5) and is perpendicular to the graph of y= 4 7 𝑥−8. Write your answer in slope- intercept form. y-5=− 7 4 (x-12) y-5=− 7 4 x+21 y=− 7 4 x+26

Assignment Page 135 # 1-6, 14, and 35 # 7-12, 20-25

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