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4.7 Parallel and Perpendicular Lines

Learn to write equations of lines passing through given points that are parallel or perpendicular to other lines in Algebra. Understand the concepts of parallel and perpendicular lines with examples.

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4.7 Parallel and Perpendicular Lines

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  1. 4.7 Parallel and Perpendicular Lines 11/1/2011 Algebra ½ Objective: Write an equation of a line that passes through a given point that is parallel or perpendicular to a given line.

  2. Vocab • Parallel Lines: lines that ______ ______. They have the ______ slopes. • Perpendicular Lines: lines that make a ______ ______. They have ________ ________ slopes.

  3. Example 1: Write in slope-intercept form. a. A line through (-1,-2) that is parallel to y = -3x – 2 b. A line through (4,-2) that is parallel to x – 2y = – 7

  4. Example 1: Write in slope-intercept form. c. A line through (-1,-2) that is perpendicular to y = -x – 2 d. A line through (4,-2) that is perpendicular to x – 2y = – 7

  5. Example 2: Determine if the two lines are parallel, perpendicular, or neither. • y = 4x – 5 x + 4y = 8 • y = x + 8 x + y = 2 b. y = 5x – 7 -5x + y = 2

  6. Assignment Pg. 240 10-28even

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