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=12.29 b equals 12.29 b=15.71 b equals 15.71 b=11
The initial value of the linear function can be found using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the initial value.
In this case, the slope is given as m = -47, and one point on the line is (14,3).
Plugging in these values into the equation, we get:
3 = -47(14) + b
Simplifying this equation, we have:
3 = -658 + b
Adding 658 to both sides of the equation, we have:
661 = b
Therefore, the initial value of the linear function is b = 661.
So, the correct answer is b = 661.