Perpendicular Lines (Grade 11 NSC Matric Mathematics): Flashcards

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Perpendicular Lines
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Angle at which perpendicular lines intersect

90 degrees (right angle)

Product of perpendicular line gradients

m1×m2=−1m_1 \times m_2 = -1

Formula for gradient of perpendicular line

m1=−1m2m_1 = -\frac{1}{m_2}

What 'negative reciprocal' means

Flip the fraction and change the sign

Step 1: Finding perpendicular line equation

Write given line in standard form y=mx+cy = mx + c

Step 2: Finding perpendicular line equation

Use m1=−1m2m_1 = -\frac{1}{m_2} to find perpendicular gradient

Step 3: Finding perpendicular line equation

Use gradient-point form y−y1=m1(x−x1)y - y_1 = m_1(x - x_1)

Lines where m1×m2=−1m_1 \times m_2 = -1 rule doesn't apply

Vertical or horizontal lines

Gradient from angle of inclination θ\theta

m=tan⁡θm = \tan \theta

Relationship between perpendicular line gradients

Negative reciprocals of each other

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