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 = -4/7, we can substitute this value into the equation: y = (-4/7)x + b.
We also know that (14,3) is an (x,y) value of the linear function. Substituting these values into the equation, we get:
3 = (-4/7)(14) + b
Multiplying -4/7 by 14, we get -56/7, which simplifies to -8.
Substituting this value into the equation, we have:
3 = -8 + b
Adding 8 to both sides of the equation, we get:
11 = b
Therefore, b equals 11. The correct response is b=11.
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=−5 b equals negative 5 b=15.71
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