1. **State the problem:** We need to find the equation of line G that passes through the point (8, 11) and is parallel to the line given by $$y = 3(4x + 3)$$. 2. **Rewrite the given line's equation:** Simplify the given line's equation to the slope-intercept form $$y = mx + c$$. $$y = 3(4x + 3) = 12x + 9$$ Here, the slope $$m = 12$$. 3. **Important rule:** Parallel lines have the same slope. So, line G also has slope $$m = 12$$. 4. **Use the point-slope form:** The equation of a line with slope $$m$$ passing through point $$(x_1, y_1)$$ is $$y - y_1 = m(x - x_1)$$ Substitute $$m = 12$$ and $$(x_1, y_1) = (8, 11)$$: $$y - 11 = 12(x - 8)$$ 5. **Simplify:** $$y - 11 = 12x - 96$$ $$y = 12x - 96 + 11$$ $$y = 12x - 85$$ 6. **Final answer:** The equation of line G in the form $$y = mx + c$$ is $$y = 12x - 85$$.