Answer
(-1,3) is the point in common.
The graphs are translations of the absolute value graph ($y=abs(x)$) but in different directions.
A graph would be more useful than a table.
Work Step by Step
Please see the graph. The place where the two graphs intersect is (-1,3).
Blue line: $y=\operatorname{abs}\left(x+4\right)$
Red line: $y=\operatorname{abs}\left(x-2\right)$
