The initial value of the linear function is the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is the point (0, 3). Therefore, the initial value is 3.
To determine the rate of change of the linear function, we can calculate the slope of the line. The slope is the change in y-coordinates divided by the change in x-coordinates between two points on the line.
Using the points (0, 3) and (3, 2), the slope can be calculated as follows:
Slope = (change in y) / (change in x) = (2 - 3) / (3 - 0) = -1 / 3
Therefore, the rate of change of the linear function is -1/3.
Use the image to answer the question. An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. A downward slanting line is plotted on the coordinate plane. The downward slanting line with arrows on both ends passes through the following closed points: left parenthesis negative 3 comma 4 right parenthesis, left parenthesis 0 comma 3 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 6 comma 1 right parenthesis. 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.
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