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 the linear function.

Answer 1

To find the initial value of the linear function, we need to use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Substitute m = -4/7, x1 = 14, and y1 = 3 into the equation:

y - 3 = (-4/7)(x - 14)

y - 3 = (-4/7)x + 8

y = (-4/7)x + 11

Now, since the initial value is the y-intercept of the linear function, we need to find the value of y when x = 0:

y = (-4/7)(0) + 11
y = 11

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

Answer 2

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Answer 3

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