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.
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
1 answer
1 answer