Answer
The value of $x$ for which ${{Y}_{1}}={{Y}_{2}}$ is $x=1$ and $x=-2$.
Work Step by Step
We know that any two graphs will intersect at a point if the values of x and y will be the same for both graphs.
Now, by checking the values of both ${{Y}_{1}}$ and ${{Y}_{2}}$, from the given table, we can observe that the values are equal to $1$ at $x=1$ and $x=-2$, for both graphs.