Question: Write the equation of the line in fully simplified slope-intercept form. The graph shows a decreasing straight line passing through points such as $(0, 5)$ and $(5, 0)$.

1. **State the problem:** We need to find the equation of the line passing through the points $(0, 5)$ and $(5, 0)$ in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 2. **Find the slope $m$:** The slope formula is $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1, y_1) = (0, 5)$ and $(x_2, y_2) = (5, 0)$. 3. Substitute the values: $$m = \frac{0 - 5}{5 - 0} = \frac{-5}{5}$$ 4. Simplify the fraction: $$m = \frac{\cancel{-5}}{\cancel{5}} = -1$$ 5. **Find the y-intercept $b$:** Since the line passes through $(0, 5)$, the y-intercept is $b = 5$. 6. **Write the equation:** Substitute $m = -1$ and $b = 5$ into the slope-intercept form: $$y = -1x + 5$$ 7. Simplify: $$y = -x + 5$$ **Final answer:** $$\boxed{y = -x + 5}$$