The $4.2 billion project will take a while to complete. The first part of the extension to Fairfax will not be done until 2019.
Subway riders had mixed reactions about the subway extension.
"It's a good idea," said subway rider Dallas Seawright. "It will be worth it in the long run."
"I think they need to rethink it. I'd like to see a monorail. I'd also like to see them extend the Green Line so that it goes to the airport," said another rider, Glenn Flug.
Residents in Beverly Hills are concerned about a proposed route that would take the subway underneath Beverly Hills High School. They are concerned about safety and cost.
The alternative route would be to run the subway along Santa Monica Boulevard, but the concern is that there is an earthquake fault there.
The Environmental Impact Report for the project shows that traffic congestion would not be improved by the extension, but it would make the commute faster for subway riders.
Los Angeles Mayor Antonio Villaraigosa has been pushing to get federal loans to speed up the process, but that hasn't happened.
In addition to the Subway to the Sea project, the board of directors also discussed other projects that will connect the light-rail lines in downtown Los Angeles. This would allow commuters in Long Beach to travel to the San Gabriel Valley without transferring trains.