Graphs of linear functions (AQA GCSE Further Maths): Flashcards

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Graphs of linear functions
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Shape of linear functions when graphed

Straight lines

Definition of gradient

The steepness of a line

Letter used to represent gradient

mm

Formula for gradient

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Appearance of line with positive gradient

Slopes upward from left to right

Appearance of line with negative gradient

Slopes downward from left to right

Type of line with zero gradient

Horizontal line (parallel to x-axis)

Type of line with infinite/undefined gradient

Vertical line (parallel to y-axis)

In y=mx+cy = mx + c, what does mm represent?

The gradient

In y=mx+cy = mx + c, what does cc represent?

The y-intercept

Equation form for vertical lines

x=ax = a

Equation form for horizontal lines

y=by = b

General form of linear equation

px+qy+r=0px + qy + r = 0

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Number and algebra I

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Number and algebra I

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Number and algebra I

Algebra II

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Number and algebra I

Algebra II

Algebra III

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