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The linear function is $\"\"$ .

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(a)

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The function is $\"\"$ .

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Compare the function with slope - intercept form of line equation is $\"\"$ ,

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where $\"\"$ is the slope and $\"\"$ is the $\"\"$ - intercept.

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Slope of the line equation is $\"\"$ .

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$\"\"$ - intercept $\"\"$ .

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(b)

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Graph the linear function using rise and run method.

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$\"\"$ - intercept is $\"\"$ , so the line crosses the $\"\"$ - axis at $\"\"$ .

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Slope = $\"\"$ .

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Start at point $\"\"$ , move $\"\"$ unit up and $\"\"$ unit right, then plot the point $\"\"$ .

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Draw a line through these points.

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$\"\"$

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(c)

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Average rate of change of a linear function is $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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The average rate of change $\"\"$ .

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The average rate of change $\"\"$ .

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(d)

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The linear function is $\"\"$ .

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Slope is $\"\"$ .

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So the function $\"\"$ is constant.

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(a) Slope $\"\"$ and $\"\"$ - intercept $\"\"$ .

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(b) Graph of the function using slope and $\"\"$ -intercept is

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$\"\"$

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(c) The average rate of change is $\"\"$ .

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(d) The function is constant.