Last updated on Oct 23, 2026

Parallel & Perpendicular Gradients (AQA A-Level Mathematics): Flashcards

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Parallel & Perpendicular Gradients

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Product of gradients if lines are perpendicular

$-1$

Formula for gradient between $(x_1,y_1)$ and $(x_2,y_2)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Gradient relationship for parallel lines

Same gradient

If gradient is $m$ , perpendicular gradient is...

$-\frac{1}{m}$

How to find gradient from line equation

Rearrange to $y = mx + c$ form, $m$ is gradient

What does $m$ represent in $y = mx + c$ ?

Gradient (slope)

Condition: $m_1 \times m_2 = -1$ means lines are...

Perpendicular

If gradient is $2$ , perpendicular gradient is...

$-\frac{1}{2}$

If gradient is $3$ , parallel gradient is...

$3$

Perpendicular lines have gradients that are...

Negative reciprocals

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Equation of a Straight Line

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

Explore AQA A-Level Mathematics Exam Questions by Topics

Equation of a Straight Line

Circles

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