Question

(0.5,1) (0,0) (-1.5, -3) Determine the initial value and the rate of change of the linear function as given in the graph.

Answer 1

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Answer 2

The initial value of the linear function is the y-intercept, which is the point where the graph crosses the y-axis. In this case, the initial value is (0,0), indicating that when x=0, y=0.

The rate of change of a linear function is the slope of the line. To find the slope, we can use the formula

slope = (change in y) / (change in x) = (y2-y1) / (x2-x1)

Let's use the points (0,0) and (-1.5, -3) to calculate the slope:

slope = (-3-0) / (-1.5-0) = -3 / -1.5 = 2

Therefore, the initial value of the linear function is 0, and the rate of change is 2.

Answer 3

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