Direct Variation (HSC SSCE Mathematics Standard): Flashcards

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Direct Variation
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Direct variation definition

One quantity depends on another, both change at same rate

Direction of change in direct variation

Both quantities change in same direction (increase or decrease)

Rate of change in direct variation

Constant - stays the same

Graph of direct variation

Straight line passing through the origin (0,0)

Symbol for constant of variation

kk

What kk represents

The rate at which quantities change together (multiplier)

Direct variation formula

y=kxy = kx

Formula to find kk

k=yxk = \frac{y}{x}

Dependent variable in y=kxy = kx

yy (quantity that depends on the other)

Why direct variation graph passes through origin

When one quantity is zero, the other must also be zero

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