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