1. **State the problem:** Find the equation of the line passing through the point $(3,4)$ with slope $-0.50$. 2. **Formula used:** The point-slope form of a line is given by: $$y - y_1 = m(x - x_1)$$ where $(x_1, y_1)$ is a point on the line and $m$ is the slope. 3. **Substitute the given values:** $$y - 4 = -0.50(x - 3)$$ 4. **Simplify the equation:** $$y - 4 = -0.50x + 1.5$$ 5. **Solve for $y$ to get slope-intercept form:** $$y = -0.50x + 1.5 + 4$$ $$y = -0.50x + 5.5$$ 6. **Final answer:** The equation of the line is: $$y = -0.50x + 5.5$$