Motorists discovered the 21-year-old's body on the side of I-540 last week -- just an hour before her husband, Darin Curtis, reported her missing.
An autopsy later showed Curtis died of injuries from a sharp object. An intense three-day investigation led deputies to an arrest.
The Wake County Sheriff's office arrested 43-year-old Robert Reaves around 1:15 a.m. Saturday.
Reaves, an ordained minister, has been described as a "nice man," according to his neighbors in Durham.
Wake County Sheriff Donnie Harrison says the investigation is ongoing and at this time he does not know if there will be other arrests.
Curtis lived in Raleigh with her husband. They were in their first year of marriage.At the Triangle Town Center Sears, where Latrese worked in the cashier's office, she's being remembered as a well-liked person who greeted everyone with a smile and talked about starting a family.
Justin Hammonds, Curtis' brother, said "They're a lot of details in the situation we're not clear on and hopefully we'll get a little finality when it comes to that." Hammonds added, "He's taken something from us that's gonna be forever."
Thursday morning the Junior Class Council held a prayer vigil for Curtis. Several people spoke, but most didn't know Curtis. She was a transfer student and attended NCCU less than a year.
The Council will send a card to Curtis' family with messages written by her fellow Eagles. "We're having this vigil to say we're united together no matter what. No matter how known or how known she was not. We're gonna stand together because she was an eagle and we're all the same," one student said.
In the past 18-months, North Carolina Central has had three students murdered including Curtis.
