Vacuum Question

#1
I have a 2005 Corolla with 118,000 miles. I am starting to have an issue were when I drive, in town and out of town conditions, when I come to stop or slow roll(under 5mphs) my car dies/shuts off...or stales out like a standard, even though its an automatic. I asked a friend of mine and he stated that it could be the vacuum hose, the oil and gas is good, and it starts right back up every time. If its a vacuum hose issue where can I find that on the vehicle and what am I looking for specific. Any diagrams or direction is helpful!
 
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