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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. An upward slanting line is plotted on the coordinate plane. The upward slanting line with arrows on both ends passes through the following closed points: left parenthesis 0 comma 0 right parenthesis and left parenthesis 2 comma 3 right parenthesis. Determine the initial value and the rate of change of the linear function given in the graph. (1 point)The initial value is_ ? and the rate of change is_ ?

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Answered by GPT 3.5
The initial value is 0 and the rate of change is 1.5.

To determine the rate of change, we can calculate the slope of the line by using the coordinates of the two points it passes through:

Slope = (change in y) / (change in x)
Slope = (3-0) / (2-0) = 3/2 = 1.5

Therefore, the rate of change is 1.5. Since the line passes through the point (0,0), the initial value is 0.

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