Find the intial 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.
To find the initial value of the linear function, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the initial value.
In this case, the slope is m = -4/7. We also have an (x, y) value of the linear function: (14, 3).
Plugging these values into the slope-intercept form, we get:
3 = (-4/7)(14) + b
To solve for b, we need to simplify the equation:
3 = -8 + b
3 + 8 = b
b = 11
Therefore, the initial value of the linear function is 11.