This adapter will fit this brake line correct?

Adapter:

https://www.fastenal.com/products/details/440943-131280?r=~|categoryl1:%22603388%20Hydraulics%209and%20Pneumatics%22|~%20~|categoryl2:%22611532%20Fittings%22|~%20~|categoryl3:%22603389%20Tube%20Fittings%22|~%20~|categoryl4:%22603399%20Connectors%22|~%20~|sattr02:^1/8%22$|~%20~|sattr01:^3/16%22$|~

Line:

http://www.autozone.com/brakes-and-traction-control/brake-line/ags-poly-armour-brake-line/85311_148248_3056_90074_90076

Everything is FUBAR’d and fluid fitting standards are confusing.