\[
f(x)=\frac{1}{4} x-6
\]
(a) Determine the slope and $y$-intercept of the function.
The slope is $\frac{1}{4}$
(Type an integer or a simplified fraction.)
The $y$-intercept is -6
(Type an integer or a simplified fraction.)
(b) Use the slope and $y$-intercept to graph the linear function.
Use the graphing tool to graph the function. Use the slope and $y$-intercept when drawing the line.
(c) Determine the average rate of change of the function.
The average rate of change is
(Type an integer or a fraction.)

Answer

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Answer

So, the slope of the function is $\boxed{\frac{1}{4}}$ and the y-intercept is $\boxed{-6}$.

Steps

Step 1 ：The function is in the form of y = mx + c, where m is the slope and c is the y-intercept.

Step 2 ：In this case, the slope is 1/4 and the y-intercept is -6.

Step 3 ：So, the slope of the function is $\boxed{\frac{1}{4}}$ and the y-intercept is $\boxed{-6}$.