1. **State the problem:** We are given a graph of a linear function $F(x)$ and need to find its equation. 2. **Identify points from the graph:** The line passes through points approximately $(0,-10)$ and $(4,0)$. 3. **Use the slope formula:** The slope $m$ is given by $$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-10)}{4 - 0} = \frac{10}{4} = \frac{5}{2}.$$ 4. **Use point-slope form:** The equation of a line is $$y - y_1 = m(x - x_1).$$ Using point $(0,-10)$, we have $$y - (-10) = \frac{5}{2}(x - 0)$$ which simplifies to $$y + 10 = \frac{5}{2}x.$$ 5. **Solve for $y$:** $$y = \frac{5}{2}x - 10.$$ 6. **Final answer:** The function is $$F(x) = \frac{5}{2}x - 10.$$