Answer
The sum is $-2 + 2i$.
See Graph I, the resultant $-2 + 2i$ is in RED.
Work Step by Step
The sum of $2 + 3i$ and $-4 - i$ is $-2 + 2i$.
Refer to Graph I, the complex number, $2 + 3i$ and $-4 - i$ are in BLUE, while the resultant $-2 + 2i$ is in RED.