Navigate to the Library via the Page Navigation Menus on the left, and select Suppliers.
Now find and select the Supplier you wish to deactivate, once selected it will open up that Suppliers page with all the relevant details.
If you wish to reactivate a Supplier, select the SHOW INACTIVE button on the right hand side of the screen. Now you will see any deactivated Suppliers in a light grey text.
Once you've selected the Supplier you wish to edit, look to the bottom right hand corner, there will be a small arrow next to the SAVE CHANGES button, select that arrow and you will notice a Deactivate/Active option. Select the option and you've now updated that particular Supplier.