1. **Problem Statement:** Given two points $(18600, 115000)$ and $(21320, 13000)$, find the equation of the line passing through these points.
2. **Formula Used:** The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
The equation of the line in point-slope form is:
$$y - y_1 = m(x - x_1)$$
3. **Calculate the slope:**
$$m = \frac{13000 - 115000}{21320 - 18600} = \frac{-102000}{2720} = -37.5$$
4. **Write the equation using point $(18600, 115000)$:**
$$y - 115000 = -37.5(x - 18600)$$
5. **Simplify the equation:**
$$y = -37.5x + 37.5 \times 18600 + 115000$$
Calculate $37.5 \times 18600$:
$$37.5 \times 18600 = 697500$$
So,
$$y = -37.5x + 697500 + 115000 = -37.5x + 812500$$
6. **Final equation:**
$$\boxed{y = -37.5x + 812500}$$
This is the linear function that passes through the given points.
Line Equation 744293
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