use the graph to answer the question: (2, 0), (0, 1), (-3, 2.5)
determine the initial value and the rate of change of the linear function given in the graph
the initial value is ____, and the rate of change is _____
To determine the initial value, we need to find the y-intercept of the line, which is the value of the function when x = 0.
From the graph, when x = 0, the value of the function is 1. Therefore, the initial value is 1.
Next, to determine the rate of change of the linear function, we calculate the slope of the line. The slope is given by the change in y divided by the change in x.
Using the points (2, 0) and (0, 1):
Change in y = 0 - 1 = -1
Change in x = 2 - 0 = 2
Slope = (-1)/(2) = -1/2
Therefore, the rate of change of the linear function is -1/2.