Gradients of lines (Edexcel GCSE Maths): Flashcards

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Gradients of lines
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What does gradient of a line measure?

How steep the line is

Formula for gradient

rac{ ext{Distance up}}{ ext{Distance across}}

'Distance up' in gradient formula

Vertical distance line rises or falls

'Distance across' in gradient formula

Horizontal distance along the line

Direction of line with positive gradient

Slopes upward from left to right

Variable relationship with positive gradient

As one increases, the other also increases

Direction of line with negative gradient

Slopes downward from left to right

Variable relationship with negative gradient

As one increases, the other decreases

Gradient value of horizontal line

Zero

Why use large triangles for gradient calculations?

Gives more accurate results

Why check scales when calculating gradients?

Grid squares may represent different values on each axis

What does gradient represent in real contexts?

Rate of change between two variables

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