Question

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. (1 point) The initial value is , and the rate of change is

Answer 1

To determine the initial value and the rate of change of a linear function given a graph, you typically need to analyze the graph visually. However, since I cannot see the graph directly, I can guide you through the process to find these values.

1. **Initial Value**: This is the value of the function when the independent variable (often represented as \(x\)) is equal to zero. To find the initial value:
- Look for the point where the line crosses the y-axis. This point gives you the initial value.

2. **Rate of Change**: The rate of change refers to the slope of the line. To determine the slope:
- Identify two points on the line, preferably far apart to minimize error. Let's say you have two points, \( (x_1, y_1) \) and \( (x_2, y_2) \).
- Use the formula for slope (rate of change):
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
- Calculate this value and round it to three decimal places.

If you give me the coordinates of two points on the graph or the y-intercept, I can assist you further in calculating these values.