He attended the local schools until age 15, when he enlisted as a private in the 8th New Jersey Volunteer Infantry Regiment.
He served from July 1863 until the end of the American Civil War, was wounded at the Battle of the Wilderness, and was present at Appomattox Court House when the Army of Northern Virginia surrendered. He returned to New Jersey after the war and became a farmer. Bartine moved to Carson City, Nevada in 1869 and became active in the business of producing copper sulfate for commercial purposes.
He later studied law, was admitted to the bar in 1880, and began a practice.
A Republican, Bartine served as district attorney of Ormsby County from 1880 to 1882. In 1888 he was elected to the United States. House.
He was reelected in 1890, and served from March 4, 1889 to March 3, 1893. He was not a candidate for renomination in 1892.
In Congress, Bartine favored bimetallism for United States. currency.
After leaving Congress Bartine moved to Chicago to become editor of the National Bimetallist magazine. He returned to Carson City in 1902 and was appointed a state tax examiner in 1904. In 1907 he was named to the state railroad commission, and he served as chairman of the commission until his death.
Bartine died in Winnemucca, Nevada on August 27, 1918.
He was buried at Lone Mountain Cemetery in Carson City.