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 the y-intercept, which is the point where the line crosses the y-axis. In this case, the line passes through (0, 0), so the initial value is 0.
The rate of change is the slope of the line, which is determined by the change in y divided by the change in x. In this case, the line passes through (0, 0) and (2, 3), so the change in y is 3 - 0 = 3 and the change in x is 2 - 0 = 2. Therefore, the rate of change is 3/2.