Normally it should have no effect on the engine performance as regards 'dying'. You may have more than one problem.
Its something to do with the air intake hose I had the same problem with the same question . Fixed the problem of dying when I stopped and guess what it had nothing to do with the brake booster cause I still have to fix that
Remove the tire and wheel from your 1994 Mercury Cougar. Remove the brake spring and brake caliper. The brake shoes will come off.
Yes
The brake system was not that secure
Remove the tire and wheel from your 1999 Mercury Cougar. Remove the brake spring and the break caliper. The brake pads will come off. Reverse the process to install the new brake pads.
The brake booster is part of the power brake system.
A 1993 Mercury Cougar takes ( DOT 3 brake fliud )
1995 Mercury Cougar does not have front wheel brake shoes. It has disc brakes and therefore disc brake pads. Copy & paste this link into your browser. http://www.advanceautoparts.com/english/youcan/html/ccr/ccr20021101db.html
no power brakes....harder to stop
from the brake booster
The power brake booster is leaking vacuum and that makes the engine die when the brakes are applied. Replace brake booster.
yes
You may have a vacuum leak at the brake booster. Have the brake booster inspected.