1. **State the problem:** We need to find the coordinates where the graph of the function $g(x) = 7x - 7$ intersects the X-axis. 2. **Recall the rule:** The graph intersects the X-axis where $g(x) = 0$ because the Y-coordinate is zero on the X-axis. 3. **Set the function equal to zero:** $$7x - 7 = 0$$ 4. **Solve for $x$:** $$7x = 7$$ $$\cancel{7}x = \cancel{7}$$ $$x = 1$$ 5. **Find the intersection point:** Since $x=1$ and $g(1) = 0$, the intersection point is $$C(1,0)$$ **Final answer:** The graph intersects the X-axis at $C(1,0)$.