The formula for a linear function is 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. In this case, m represents the slope of the linear function.
We are also given the point (14,3), which means that when x = 14, y = 3.
Using this information, we can substitute the values into the formula and solve for b:
3 = (-4/7)(14) + b
Multiply -4/7 by 14:
3 = -8 + b
Now, isolate b by adding 8 to both sides:
3 + 8 = b
11 = b
Therefore, the initial value of the linear function 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 answer