Straight Lines and Gradients (AQA GCSE Maths): Flashcards

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Straight lines and gradients
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Key feature of straight line equations

Contain only xx and yy terms, no higher powers

Equation for vertical lines

x=ax = a

Equation for horizontal lines

y=ay = a

Equation of the main diagonal

y=xy = x

What gradient measures

The steepness of a line

Formula for gradient

Change in yChange in x\frac{\text{Change in y}}{\text{Change in x}}

Direction of line with positive gradient

Slopes uphill (rises from left to right)

Direction of line with negative gradient

Slopes downhill (falls from left to right)

Form of lines through origin

y=axy = ax (where aa determines the gradient)

What larger gradient value indicates

Steeper line

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