Find the initial value of the liner function given that the change rate is m=-4/7, and (14,3 is an (x,y) value of a liner function.
To find the initial value of a linear function, we need to use the formula for the equation of a line:
y = mx + b
Given that the change rate (m) is -4/7, we can substitute this value into the equation. We also know that the point (14,3) lies on the line, so we can substitute these coordinates into the equation as well.
3 = (-4/7) * 14 + b
Simplifying the equation:
3 = -56/7 + b
We can convert -56/7 to -8:
3 = -8 + b
To isolate b, we can add 8 to both sides of the equation:
3 + 8 = b
11 = b
Therefore, the initial value (or the y-intercept) of the linear function is 11.