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Published byDinah Owen Modified over 9 years ago
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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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Vocabulary Parallel Lines – Lines that never cross and never intersect. Perpendicular Lines – Lines that, when they cross each other, form right angles.
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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
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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
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#1 Determine whether the graphs of the equations are parallel lines
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#2 Determine whether the graphs of the equations are parallel lines
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#3 Determine whether the graphs of the equations are perpendicular lines
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#4 Determine whether the graphs of the equations are perpendicular lines
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#5 Write an equation for the line containing the given point and perpendicular to the given line.
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