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 = −5
b = 11
b = 12.29
b = 15.71
To find the initial value (b) of the linear function, we need to use the equation of a linear function:
y = mx + b
Where m is the rate of change and b is the initial value.
We are given that the rate of change is m = -4/7 and that (14,3) is a point on the linear function. To find the initial value, we can plug in the values x = 14 and y = 3 into the equation:
3 = (-4/7)(14) + b
Simplifying this equation, we get:
3 = -8 + b
Now we can solve for b by isolating it on one side of the equation. Adding 8 to both sides:
3 + 8 = b
11 = b
Therefore, the initial value of the linear function is b = 11.