Question

Find the initial value of the linear function, given that the rate of change is m=− 4 7 , and (14,3) is an (x,y) value of the linear function.(1 point) Responses b=11 b equals 11 b=12.29 b equals 12.29 b=15.71 b equals 15.71 b=−5

Answer 1

To find the initial value (b) of the linear function, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the rate of change and b is the initial value.

Given that m = -4/7 and (14,3) is a point on the line, we can substitute these values into the equation and solve for b:

3 = (-4/7)(14) + b

3 = -8 + b

b = 3 + 8

b = 11

So, the initial value of the linear function is b = 11. Therefore, the correct response is b = 11.