Perpendicular Lines (Leaving Cert Mathematics): Flashcards

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Perpendicular Lines
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Angle formed when two perpendicular lines intersect

Right angle (9090°)

Product of slopes of two perpendicular lines

m1×m2=−1m_1 \times m_2 = -1

Formula for slope of line perpendicular to slope m1m_1

m2=−1m1m_2 = -\frac{1}{m_1}

Type of line perpendicular to horizontal line y=ky = k

Vertical line x=kx = k

Slope of a vertical line

Undefined

Slope of a horizontal line

00

Point-slope form equation

y−y1=m(x−x1)y - y_1 = m(x - x_1)

First step to find perpendicular line's slope

Find negative reciprocal of given slope

How to verify if two lines are perpendicular

Check if m1×m2=−1m_1 \times m_2 = -1

Negative reciprocal of slope 22

−12-\frac{1}{2}

Negative reciprocal of slope −3-3

13\frac{1}{3}

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