3.7 slopes of parallel and perpendicular lines€¦ · 3.7 slopes of parallel and perpendicular...
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3.7 Slopes of Parallel and Perpendicular Lines
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October 21, 2009
Oct 174:52 PM
3.7 Slopes of Parallel and Perpendicular Lines
Objectives:Relate slope and parallel lines.
Relate slope and perpendicular lines.
3.7 Slopes of Parallel and Perpendicular Lines
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3.7 Slopes of Parallel and Perpendicular Lines
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Review: Equations of a lineMatch each name with the correct equation and appropriate example.
Point-Slope Form Standard Form Slope-Intercept Form
y = -3x - 10
3x + y = -10
y - 2 = -3(x + 4)
y = mx + b
Ax + By = C
y - y1 = m(x - x
1)
3.7 Slopes of Parallel and Perpendicular Lines
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Parallel Lines:
m1 = m
2
b1 ≠ b
2
y = mx + b1
y = mx + b2
3.7 Slopes of Parallel and Perpendicular Lines
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Oct 174:53 PM
Example #1:
3.7 Slopes of Parallel and Perpendicular Lines
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Example #2:
3.7 Slopes of Parallel and Perpendicular Lines
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Example #3: Write an equation of the line through the point (-2, 4) and parallel to y = (- )x + 2.Then graph both lines.
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3.7 Slopes of Parallel and Perpendicular Lines
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Jul 146:40 PM
Perpendicular Lines:
m1(m
2) = -1
m1 and m
2 are opposite reciprocals
y = m1x + b
1
y = m2x + b
2
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Example #4:
3.7 Slopes of Parallel and Perpendicular Lines
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Example #5:
3.7 Slopes of Parallel and Perpendicular Lines
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Example #6: Write an equation of the line through the point (6, 1) and perpendicular to y = x + 2. Then graph both lines.3
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Homework:page 177 (9 15, 20 22, 25 27)
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