The western terminus of the highway is at the Indiana state line approximately six miles (9.7 km) south of Union City, with the road continuing into the Hoosier State being locally maintained Greenville Pike.
The road entering into the intersection from the Indiana side is locally maintained Greenville Pike.
SR 502 runs due east from the state line into Washington Township, traversing primarily rolling farmlands, with the occasional house and clump of trees along the way.
Now known as Winchester Avenue, SR 502 starts to turn southeast as it crosses railroad tracks, then becomes known as Vine Street as it enters into a residential neighborhood.
It meets Elm Street at a four-way stop intersection, then crosses from a residential area into the central business district.