section 1.5
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Section 1.5. Writing Equations of Parallel and Perpendicular Lines. Parallel lines – Two lines that are in the same plane and have no points in common. They have the same slope. Coincide – Two lines that represent the same line. - PowerPoint PPT PresentationTRANSCRIPT
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Section 1.5
Writing Equations of Parallel and Perpendicular Lines
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Parallel lines – Two lines that are in the same plane and have no points in common. They have the same slope.
Coincide – Two lines that represent the same line.
Perpendicular lines – Two nonvertical lines in a plane with slopes that are opposite reciprocals.
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Determine whether the graphs of each pair of equations are parallel,
perpendicular or neither.
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The lines coincide.
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Determine whether the graphs are parallel, coinciding, perpendicular, or neither.
2x+4y=4 x+2y=5
2x+4y=4 x+2y=54y=-2x+4 2y=-x+5y=-½ x+1 y=-½ x +5/2
The lines have the same slope but different y-intercepts. Therefore the lines are parallel.
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y=-½ x+1 y=-½ x +5/2
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5x-3y=1210x-6y=24
5x-3y=12 10x-6y=24 -3y=-5x+12 -6y=-10x+24 y= 5/3 x – 4 y=5/3 x -4
The lines have the same slope and intercept so they coincide.
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y=2/3 x-63x+2y=9
perpendicular
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2x-7y=14y=3x-7
neither
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Write the standard form of the equation of the line that passes through the point (-2,10) and is
parallel to the graph of 2x+5y+4=0
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Write the standard form of the equation of the line that passes through the point at (2,-3) and is
perpendicular to the graph of 6x-8y-5=0
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