Question

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=12.29
b equals 12.29

b=11

Answer 1

To find the initial value (b) of the linear function, we can use the point-slope formula which states that the equation of a linear function can be written as y = mx + b, where m is the rate of change and b is the initial value.

Given that m = -47 and (14,3) is a point on the line, we can substitute these values into the equation to solve for b:

3 = -47(14) + b

Simplifying the equation:

3 = -658 + b

To isolate b, we can add 658 to both sides of the equation:

3 + 658 = b

661 = b

Therefore, the initial value (b) of the linear function is 661.

So, the correct answer is: b = 661.