To determine the initial value and rate of change of the linear function, we need to find the equation of the line passing through the points (-3,4) and (6,1).
Finding the slope:
m = (y2 - y1) / (x2 - x1)
m = (1 - 4) / (6 - (-3))
m = (-3) / 9
m = -1/3
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Taking one of the points, let's use (-3,4):
y - 4 = (-1/3)(x - (-3))
y - 4 = (-1/3)(x + 3)
y - 4 = (-1/3)x - 1
y = (-1/3)x + 3
The initial value is 3, and the rate of change is -1/3.
(-3,4), (0,3), (3,2), (6,1)
Determine the initial value and the rate of change of the linear function is given in the graph round your answer to three decimal places as needed
The initial value is _______, And the rate of change is _______.
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