Linear Models (HSC SSCE Mathematics Advanced): Flashcards

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Linear Models
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What linear models are

Mathematical tools representing straight-line relationships

Independent variable: definition & graph location

Input values; shown on horizontal axis

Dependent variable: definition & graph location

Output values; shown on vertical axis; depends on input

Vertical intercept meaning in real-world contexts

Initial value (starting amount before any change occurs)

Gradient meaning in real-world contexts

Rate of change between quantities

Formula for calculating gradient

riserun\frac{\text{rise}}{\text{run}}

Viable solution definition

Satisfies inequality and is realistic in context

Non-viable solution definition

Satisfies inequality mathematically but not practical

Rule when dividing/multiplying inequality by negative

Reverse the inequality sign

Most physical quantities and negative values

Cannot be negative (temperature is an exception)

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