Parallel Lines (Grade 11 NSC Matric Mathematics): Flashcards

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Parallel Lines
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Parallel lines definition

Straight lines that never intersect

Key property of parallel lines

They have equal gradients

Parallel lines condition (formula)

m1=m2m_1 = m_2

In y=mx+cy = mx + c, cc represents

The y-intercept

Parallel vs identical lines

Same gradient, different y-intercepts

Gradient-point form

y−y1=m(x−x1)y - y_1 = m(x - x_1)

Gradient-intercept form

y=mx+cy = mx + c

Gradient from angle θθ

m=tan⁡θm = \tan θ

Step 1: Find parallel line equation

Convert to y=mx+cy = mx + c form

When to use y−y1=m(x−x1)y - y_1 = m(x - x_1)

When you have a point and gradient

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