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 $(- 10, - 18)$ and $(2, 6)$

Steps

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

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 $(- 10, - 18)$ and $(2, 6)$