Question

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

b=12.29
b equals 12.29

b=11
b equals 11

b=15.71
b equals 15.71

b=−5

Answer 1

Use y = mx + b. With m = −47 and (x,y) = (14,3):

3 = (−47)(14) + b = −658 + b, so b = 3 + 658 = 661.

None of the given choices match; the correct initial value is b = 661.