(-3,4) , (0,3), (3,2), (6,1) Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.

To determine the initial value (y-intercept) and the rate of change (slope) of the linear function represented by the points \((-3, 4)\), \((0, 3)\), \((3, 2)\), and \((6, 1)\), we can follow these steps:

1. **Identify the points**: From the given coordinates:
- Point A: \((-3, 4)\)
- Point B: \((0, 3)\)
- Point C: \((3, 2)\)
- Point D: \((6, 1)\)

2. **Determine the slope (rate of change)**: The slope (m) of a linear function passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
We can use two points; let's use \((0, 3)\) and \((6, 1)\):
\[
m = \frac{1 - 3}{6 - 0} = \frac{-2}{6} = -\frac{1}{3} \approx -0.333
\]

3. **Determine the initial value (y-intercept)**: Since the y-intercept is the y-value when \(x = 0\), we can directly see from the point \((0, 3)\) that the initial value (y-intercept) is:
\[
b = 3
\]

In conclusion, the initial value of the linear function is \(3\) and the rate of change (slope) is approximately \(-0.333\).

Thus, rounded to three decimal places, we have:
- Initial value: **3.000**
- Rate of change: **-0.333**