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I'm still new to all this new age PHP stuff. But you should be golden of you add
'Jeremyvaught\Slugify\SlugifyServiceProvider',
to your app/config/app.php file under Service Providers.
and 'Slugify' => 'Jeremyvaught\Slugify\Facades\Slugify',
to the aliases section of that same file.
Otherwise, you might try my workbench_slugify project where I've implemented Slugify into Laravel to the best of my knowledge.
This package is open-sourced software licensed under the MIT license