By Greg Botelho
(CNN - March 5, 2015) -- A Delta airplane slid off a runway late Thursday morning at New York's LaGuardia airport, its nose breaking through a fence before skidding to a halt.
Video from CNN affiliate WABC shows people walking off the commercial jetliner and onto snow-covered ground at the airport.
Emergency vehicles could be seen then around the MD-88 aircraft, which Delta said had 125 passengers and five crew members aboard.
Six people reported minor injuries after Delta Flight 1086 skidded off the runway, some of whom will be transported to area hospitals, according to the city's fire department. The department said all passengers were off the aircraft about 30 minutes after it landed.
Delta said in a statement that customers used slides to get off the aircraft, then headed to buses that took them to terminals.
"Our priority is ensuring our customers and crew members are safe," the airline said. "Delta will work with all authorities and stakeholders to look into what happened in this incident."
Delta Flight 1086 took off shortly after 9 a.m. from Atlanta and landed at LaGuardia airport at 11:05 a.m., according to Delta's website.
According to the National Weather Service, there was snow and freezing fog at the airport when the plane touched down in New York.
LaGuardia airport shuts down
The incident makes an already nightmarish air travel situation on much of the East Coast even worse.
All runways at LaGuardia shut down after the incident, said Joe Pentangelo, a spokesman for the Port Authority of New York and New Jersey that runs the airport.
In fact, the entire airport will be shut down until 7 p.m., according to the Federal Aviation Administration.
It's not the only place in the area experiencing major headaches because of the wintry weather. Both New York's Kennedy Airport and Newark Liberty International Airport, in northern New Jersey, were experiencing midday delays of more than three hours because of snow and ice, the FAA reported.
And none of those airports were even the most affected around noon Wednesday by bad weather impacting large swaths of the United States.
That honor goes to Dallas Fort-Worth, where more than 400 departing (and another 400 arriving) flights were canceled, according to the flight tracking website, FlightAware.
In total, more than 3,750 flights in and out of the United States had been canceled as of 12:15 p.m., FlightAware reports.