Find the initial value of the linear function, given that the rate of change is m = -4/7 and (14, 3) is an (x, y) value of that linear function

b = 12.29
b = -5
b = 11
b = 15.71

To find the initial value (y-intercept) of the linear function, we use the formula y = mx + b, where m is the rate of change and b is the initial value.

We are given that m = -4/7 and the point (14, 3) lies on the line. Plugging in these values into the formula, we get:

3 = (-4/7)(14) + b
3 = -8 + b
b = 3 + 8
b = 11

Therefore, the initial value of the linear function is b = 11.