Question
is b=11 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.
Answers
GPT 3.5
No, the initial value is not 11. To find the initial value, we can use the formula for the equation of a linear function, which is y = mx + b where m is the rate of change and b is the initial value.
We are given that m = -4/7 and the point (14,3) lies on the linear function. So we can substitute the values of x and y into the equation to solve for b.
3 = (-4/7)(14) + b
3 = -8 + b
b = 11
So the initial value of the linear function is 11.
We are given that m = -4/7 and the point (14,3) lies on the linear function. So we can substitute the values of x and y into the equation to solve for b.
3 = (-4/7)(14) + b
3 = -8 + b
b = 11
So the initial value of the linear function is 11.