Find the initial value of the linear function, given that the rate of change is m=−4

Question

over 7 , and (14,3) is an (x,y) value of the linear function.(1 point)
Responses

A.b=11

B.b=−5

C.b=15.71

D.b=12.29

Answer 1

The equation of a linear function can be written as y = mx + b, where m is the rate of change and b is the initial value.

We are given that the rate of change, m, is -4/7. Substituting this value into the equation, we have y = (-4/7)x + b.

We are also given the point (14,3), which means that when x = 14, y = 3. Substituting these values into the equation, we have 3 = (-4/7)(14) + b.

Simplifying this equation, we get 3 = -8 + b.

Adding 8 to both sides, we have 11 = b.

Therefore, the initial value, b, is 11.

Answer: A. b=11