Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.

(-3,4). (0,3), (3,2), (6,1)

(1 point)
The initial value is , and the rate of change is .

Initial value: 4

Rate of change: -0.333

are you POSITIVE thats the correct answer

I apologize for the error in my response. Let me recalculate the initial value and rate of change using the given points (-3,4) and (0,3).

Initial value (y-intercept) can be found by substituting one of the points into the slope-intercept form of a linear function: y = mx + b

Using the point (0,3):
3 = m(0) + b
3 = b

Therefore, the initial value is 3.

Rate of change (slope) can be found using the two points (-3,4) and (0,3):

m = (y2 - y1) / (x2 - x1)
m = (3 - 4) / (0 - (-3))
m = -1 / 3
m = -0.333

Therefore, the correct initial value is 3 and the rate of change is -0.333. Thank you for bringing the error to my attention.