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Introduction to Parallel & Perpendicular Lines

This lesson focuses on using equations to determine if lines are parallel or perpendicular, writing equations of parallel or perpendicular lines, and graphing lines. Students will analyze slopes and learn how to write equations with specific slopes and points.

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Introduction to Parallel & Perpendicular Lines

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  1. Warm-up 3-7: Survey

  2. Lesson 3-7: Parallel & Perpendicular Lines Objectives Students will: Use equations to determine if two lines are parallel or perpendicular Write an equation of a line that is parallel or perpendicular to a given line

  3. Graph the following lines y = 2x + 1 2x – y = 3

  4. Look at the slopes from the graphs: Parallel lines → same slope Perpendicular line → “opposite reciprocal” slope • Writing Equations • Get the slope you want • Plug it and a given point into y = mx + b, solve for b Remember: slope = m &

  5. Example 1: y = 5x + 2 ; y = -5x + 2 Parallel, perpendicular, or neither? Example 2: Write an equation for a line parallel to y = 5x + 4 through (1, 3) Example 3: Write an equation for a line perpendicular to 3x + 4y = 5 through (3, -2)

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