1. **State the problem:** Find the equation of the axis of symmetry for the parabola given by the relation $$y = -2(x - 4)(x - 6)$$. 2. **Recall the formula:** The axis of symmetry of a parabola in factored form $$y = a(x - r_1)(x - r_2)$$ is the vertical line halfway between the roots $$r_1$$ and $$r_2$$, given by $$x = \frac{r_1 + r_2}{2}$$. 3. **Identify the roots:** From the equation, the roots are $$r_1 = 4$$ and $$r_2 = 6$$. 4. **Calculate the axis of symmetry:** $$x = \frac{4 + 6}{2}$$ $$x = \frac{10}{2}$$ $$x = 5$$ 5. **Conclusion:** The equation of the axis of symmetry is $$x = 5$$.