Determine the point(s) where the two equations intersect:
$\begin{array}{l}y=x^{2}+10 x-18 \\ y=2 x+2\end{array}$

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Answer

Final Answer: The points of intersection are $\boxed{(-10, -18)}$ and $\boxed{(2, 6)}$

Steps

Step 1 ：Set the two equations equal to each other: $x^{2}+10 x-18 = 2x + 2$

Step 2 ：Solve the equation for x to get the x-values of the intersection points: $x = -10, 2$

Step 3 ：Substitute the x-values into either of the original equations to find the corresponding y-values: $y = -18, 6$

Step 4 ：Final Answer: The points of intersection are $\boxed{(-10, -18)}$ and $\boxed{(2, 6)}$