Problem
\[ f(x)=\frac{1}{4} x-6 \] (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.)
Solution
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 \(\boxed{-6}\).
