## Podcast Beta

## Questions and Answers

What is the definition of a linear function?

Which of the following is an example of a linear function?

What is the slope-intercept form of a linear function?

Which of the following best describes the gradient of a linear function?

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What does the y-intercept of a linear function represent?

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Which of the following is true about linear functions?

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Which of the following is true about the gradient of a linear function?

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What does the y-intercept of a linear function represent?

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Which of the following best describes the slope-intercept form of a linear function?

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## Study Notes

### Definition of Linear Function

- A linear function is a function that can be expressed as a straight line on a graph.

### Examples of Linear Functions

- Examples of linear functions include f(x) = 2x + 3, g(x) = x - 4, and h(x) = 5.

### Slope-Intercept Form of a Linear Function

- The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

### Gradient of a Linear Function

- The gradient of a linear function represents the rate of change of the output value with respect to the input value.
- The gradient of a linear function is constant, meaning it does not change at any point on the line.

### Y-Intercept of a Linear Function

- The y-intercept of a linear function represents the point at which the line crosses the y-axis.
- The y-intercept is the value of y when x is equal to 0.

### Properties of Linear Functions

- Linear functions have a constant rate of change, meaning the output value changes at a constant rate as the input value changes.
- The graph of a linear function is a straight line.

### Properties of Gradient of a Linear Function

- The gradient of a linear function is a measure of its steepness.
- A positive gradient indicates a line that slopes upwards, while a negative gradient indicates a line that slopes downwards.

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## Description

Test your knowledge of linear functions with this quiz! Learn the definition of a linear function, identify examples, and understand the slope-intercept form.