Final answer:
Sherman's taking Atlanta greatly impacted the election of 1864 by increasing Lincoln's popularity and contributing to his re-election.
Step-by-step explanation:
The fall of Atlanta to General Sherman greatly impacted the election of 1864 by increasing the popularity of President Lincoln and helping him win re-election. The capture of Atlanta was seen as a significant Union victory, which assured people in the North that victory was in sight. This boosted Lincoln's support and contributed to his electoral success.