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=−5
b equals negative 5
b=15.71
b equals 15.71
b=11
b equals 11
To find the initial value of the linear function, we can use the formula for the equation of a line: y = mx + b, where m is the rate of change and b is the initial value.
Given that m = -47 and a point on the line is (14,3), we can substitute these values into the equation:
3 = -47(14) + b
3 = -658 + b
b = 3 + 658
b = 661
Therefore, the initial value of the linear function is b = 661.
The closest response is "b=661".