Answer
See graphs, $\left(3,5\right)$
Work Step by Step
1. See graphs
2. Use $y=x^2-4$ in $y=6x-13$ to get $x^2-4=6x-13$ or $x^2-6x+9=0$ or $(x-3)^2=0$, thus $x=3$
3. Use the 2nd equation to get $y=5$
4. We can find the intersect(s): $\left(3,5\right)$