Alex Bargmann, I like timelines
I would not recommend a Venn Diagram as the best way to visualize the impact that the industrial revolution had on slavery. Call me old school, but a bit of writing may be best for making this argument. You, however, could visualize this with a timeline or a flow chart. Example
I'm assuming you're referring to the United States. The cotton gin was an invention of the industrial revolution and completely revitalized the cotton industry in the United States - dramatically increasing its commercial viability. This led to an increase in the slave trade and arguments that the country needed to maintain slavery for economic reasons - upholding slavery through the middle of the 19th century.