1. The problem is to find the vertices of the intersection of two or more geometric shapes or functions. 2. Vertices are points where two or more edges or curves meet, often found by solving systems of equations. 3. To find the intersection vertices, set the equations of the shapes equal to each other and solve for the variables. 4. For example, if you have two lines $y=m_1x+b_1$ and $y=m_2x+b_2$, find the intersection by solving: $$m_1x+b_1 = m_2x+b_2$$ 5. Rearrange to isolate $x$: $$x = \frac{b_2 - b_1}{m_1 - m_2}$$ 6. Substitute $x$ back into either equation to find $y$. 7. The point $(x,y)$ is the vertex where the two lines intersect. 8. This method applies to any shapes or functions by solving their equations simultaneously.