This is a scene from the film "The Outsiders" where Ponyboy recites the Robert Frost Poem "Nothing Gold Can Stay" to Johnny.
In the film Johnny dies of injuries. His last words are "Stay gold, Ponyboy, stay gold," in reference to the poem.
The movie was released in March 1983. Jo Ellen Misakian, a librarian at Lone Star Jr. High School in Fresno, California and her students, were responsible for inspiring Coppola to make the movie.
The Outsiders is noted for being the breakout film of many future stars: C. Thomas Howell, Rob Lowe, Emilio Estevez, Matt Dillon, Tom Cruise, Patrick Swayze, Ralph Macchio, and Diane Lane. Both Lane and Dillon went on to appear in Coppola's related film Rumble Fish.
I dedicate this post to Patrick Swayze.