Slope and y-intercepts Quick Check

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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=−5
b equals negative 5

b=15.71
b equals 15.71

b=11
b equals 11

b=12.29

1 answer

Correct response: b=11
Explanation: Use the formula for a linear function, y = mx + b, where m = -47 and the point (14,3) is given. Plug in the values to solve for b:
3 = -47(14) + b
3 = -658 + b
b = 3 + 658
b = 661

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