Straight line graphs (OCR GCSE Maths): Flashcards

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Straight line graphs
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Property of vertical lines

Same xx-coordinate

Property of horizontal lines

Same yy-coordinate

Equation of the xx-axis

y=0y = 0

Equation of the yy-axis

x=0x = 0

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

The gradient (or slope)

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

The yy-intercept

Effect of positive gradient on line direction

Line slopes upwards (left to right)

Effect of negative gradient on line direction

Line slopes downwards

Property of parallel lines

Same gradient

Where yy-intercept crosses

The yy-axis (when x=0x = 0)

Formula for gradient

rac{ ext{Change in } y}{ ext{Change in } x}

Effect of bigger gradient number

Steeper line

Solving simultaneous equations graphically

Find intersection point of two lines

Alternative straight line equation form

ax+by=cax + by = c

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