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)
a. b=12.29
b. b=-5
c. b=15.71
d. b=11
To find the initial value of the linear function (y-intercept), 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 the point (14,3) lies on the line, we can substitute these values into the formula to solve for b:
3 = -47(14) + b
3 = -658 + b
3 + 658 = b
661 = b
Therefore, the initial value (y-intercept) of the linear function is b = 661.
The closest option is:
c. b=15.71