There were some significant differences. For one thing, slavery was not legal within Britain itself, which is where the industrial revolution occurred. While no doubt slavery abroad meant that some luxury goods like sugar or tobacco were cheaper than they otherwise have been, there weren't slaves working the fields to make food and weave clothes in Britain itself.

There's a whole lot of research to show that the cost of labour in Britain in the 18th century was far higher than that of continental Europe - several times higher. And that this high cost of labour is what spurred on innovation.