4.05 Quiz Parallel And Perpendicular Lines

Question: What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

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Answer: 2/3

Question: Line a is represented by the equation y=3x−4 .

How do these equations compare to line a?

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Answer: Parallel to line a: y=3x-2

Perpendicular to line a: y=-1/3x-10

Neither parallel nor perpendicular to line a: y=1/3x+1

Question: What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?

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Answer: y=2/3x-9

Question: What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?

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Answer: y=-4x+15

Question: In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? PICTURE INCLUDED

c−ab·de=−1

c−ab=−de

c−ab=de

c−ab·−de=−1

Answer: c−ab=de

Question: What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

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Answer: 3/4

Question: Line a is represented by the equation y=14x+8 .

How do these equations compare to line a?

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Answer: Parallel to line a: y=1/4x+1

Perpendicular to line a: y=-4x-3

Neither parallel nor perpendicular to line a: y=4x-8

Question: What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

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Answer: y=−2/5x−2

Question: What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x2+3 ?

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Answer: y=−2x+10

Question: In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?

ba·cd=−1

ba=dc

ba·dc=−1

ba=cd

Answer: b/a=c/d