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7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.

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Presentation on theme: "7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related."— Presentation transcript:

1 7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.

2 Vocabulary Parallel Lines – Lines that never cross and never intersect. Perpendicular Lines – Lines that, when they cross each other, form right angles.

3 Steps for determining if graphs are parallel or perpendicular 1. Put both equations into slope-intercept form. 2. Find the slope and y-intercept of each equation. 3. Analyze the slope and y-intercept Parallel – Slope is the same; y-intercept different Perpendicular – Slope is a negative reciprocal

4 Finding Opposite Reciprocals a) -3 b) 1/3 c) -2/5 d) 6 e) -3/2 f) -1/6 g) 8 h) 3/8 i) 7/3 a) 1/3 b) -3 c) 5/2 d) -1/6 e) 2/3 f) 6 g) -1/8 h) -8/3 i) -3/7

5 #1 Determine whether the graphs of the equations are parallel lines

6 #2 Determine whether the graphs of the equations are parallel lines

7 #3 Determine whether the graphs of the equations are perpendicular lines

8 #4 Determine whether the graphs of the equations are perpendicular lines

9 #5 Write an equation for the line containing the given point and perpendicular to the given line.


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