Final answer:
The strongest appeal in The Chicago Defender's quote to African Americans is "To shake off this mortal coil at the end of the lynchers’ rope," as it emphasizes the life-threatening danger of lynching in the South and urges migration to the North for safety and better opportunities.
Step-by-step explanation:
In the quote from The Chicago Defender, the phrase that represents the strongest appeal that The Defender makes to African Americans is "To shake off this mortal coil at the end of the lynchers’ rope." This phrase strongly conveys the urgency of the situation and the mortal danger faced by African Americans due to lynching, urging them to move to the North where they would ostensibly be safer and have better opportunities. This phrase underscores the dire consequences of remaining in the oppressive environment of the South and appeals to the instinct of self-preservation and the desire for a life of dignity and safety.
The other options, like "Go to it, my Southern Brothers" and "The North needs you," suggest motivation and a call to action but don't carry the same weight of life-or-death importance as the reference to escaping the threat of lynching.