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=15.71 b equals 15.71 b=−5 b equals negative 5 b=11 b equals 11 b=12.29 b equals 12.29
The initial value of the linear function can be found using the formula:
y = mx + b
where m is the rate of change and b is the initial value.
We are given that m = -47, so the equation becomes:
3 = -47(14) + b
To solve for b, we can substitute the x and y values of the point (14, 3) into the equation:
3 = -47(14) + b
3 = -658 + b
Now, we can solve for b by adding 658 to both sides:
3 + 658 = b
661 = b
Therefore, the initial value of the linear function is b = 661.