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=11 b equals 11 b=15.71 b equals 15.71 b=12.29 b equals 12.29 b=−5
The initial value of a linear function can be found using the slope-intercept form equation, y = mx + b, where m is the slope and b is the initial value.
In this case, the given rate of change (slope) is m = -47 and the given point is (14, 3).
Let's substitute these values into the equation:
3 = -47(14) + b
Simplify the equation:
3 = -658 + b
Now, isolate b by adding 658 to both sides of the equation:
b = 3 + 658
b = 661
Therefore, the initial value of the linear function is b = 661.