1. **State the problem:** Find the point of intersection of the two lines given by the equations: $$y = x + 7$$ and $$y = 2x - 15$$ 2. **Formula and approach:** To find the intersection, set the two expressions for $y$ equal to each other because at the intersection point both lines share the same $x$ and $y$ values. $$x + 7 = 2x - 15$$ 3. **Solve for $x$:** Subtract $x$ from both sides: $$7 = x - 15$$ Add 15 to both sides: $$7 + 15 = x$$ $$22 = x$$ 4. **Find $y$:** Substitute $x = 22$ into one of the original equations, for example $y = x + 7$: $$y = 22 + 7 = 29$$ 5. **Conclusion:** The two lines intersect at the point $(22, 29)$. This means the lines cross far outside the visible graph area described, which is why no intersection is seen in the graph.