Find the initial value of the linear function, given that the rate of change is m=−47 , and (14,3) is an (x,y) value of the linear function.(1 point)

Responses

a. b=11

b. b=15.71

c. b=−5

d. b=12.29

1 answer

Let the linear function be y = mx + b.

Given that m = -47 and (14,3) is a point on the line, we can substitute these values into the equation:

3 = -47(14) + b
3 = -658 + b
b = 3 + 658
b = 661

So, the initial value of the linear function is b = 661.

Answer: The correct choice is not provided in the options.