Quiz on Parallel and Perpendicular Lines

What is the equation of the line that is parallel to y=2x-3 and goes through the point (-3, 10)?

• y=-2x+4

• y=-1/2x-3

• y=2x+16

• y=1/2x-2

Answer explanation

Use the same slope as the original line, but find the new y-intercept so that it goes through the point. I'd use point-slope form to get there.

What is the equation of the line that would be perpendicular to y=-3/4x+4 and go through the point (9, -2)?

• y=-3/4x+2

• y=4/3x-14

• y=-4/3x+10

• y=4x-1

Answer explanation

Perpendicular lines have opposite reciprocal slope, so find that and use the point-slope form to get your answer.

Which of the following lines would be parallel to y=2/3x+4?

• y=2/3x-5

• y=-3/2x+3

• y=2/3x+4

• y=2x+3

Answer explanation

Parallel lines have the same slope, but different y-intercepts.

Perpendicular lines:

• Will not cross

• Will cross at the origin

• Will have the same slope

• Will intersect at a right angle (90 degrees)

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CCSS.HSG.CO.A.1

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CCSS.8.G.A.5

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• line l

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Which of the following lines is perpendicular to y = -4x + 10?

• y = 4x - 5

• y = 1/4x + 3

• y = -4x + 1

• y = -1/4x + 2

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CCSS.HSG.CO.A.1

CCSS.4.G.A.1