Linear vs Non-linear

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What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Its rate of change varies, and it can include curves, parabolas, and other shapes.

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What does the term 'slope' mean in a linear function?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

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How do you identify a linear relationship in a real-world scenario?

Back

A linear relationship can be identified if the change in one quantity results in a constant change in another quantity, such as a fixed cost per hour.

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What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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What is an example of a linear function in a real-life situation?

Back

An example of a linear function is the cost of renting a car, where the total cost is a fixed fee plus a charge per hour.

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What is an example of a non-linear function in a real-life situation?

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An example of a non-linear function is the growth of bacteria, where the population can triple or double over time.

Front

How can you tell if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line, indicating a constant rate of change.

Front

What does it mean if a function is described as 'non-linear'?

Back

If a function is described as 'non-linear', it means that the relationship between the variables does not produce a straight line when graphed.