Parallel and Perpendicular Lines (Leaving Cert Mathematics): Quizzes

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Parallel and Perpendicular Lines
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What is the defining characteristic of parallel lines?

They have the same slope

At what angle do perpendicular lines meet?

90°

If two lines are parallel with slopes m1m_1 and m2m_2, what is their relationship?

m1=m2m_1 = m_2

If two lines are perpendicular, what is the product of their slopes?

-1

What is the slope of the line ax+by+c=0ax + by + c = 0?

−ab-\frac{a}{b}

If a line has slope 34\frac{3}{4}, what is the slope of a perpendicular line?

−43-\frac{4}{3}

Which pair of slopes represents perpendicular lines?

2 and −12-\frac{1}{2}

Which lines are parallel: y=2x−3y = 2x - 3, y=2x−2y = 2x - 2, y=−2x+1y = -2x + 1?

First and second

What is the point-slope form of a line equation?

y−y1=m(x−x1)y - y_1 = m(x - x_1)

To find a line parallel to y=5x+2y = 5x + 2 through a point, what slope do you use?

5

Do slopes 3 and −13-\frac{1}{3} represent perpendicular lines?

Yes, product is -1

A line has slope 2. What is the slope perpendicular to it?

−12-\frac{1}{2}

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