City council voted unanimously to pass a memorial, asking the Arizona state legislature to consider and approve Genna's Law.
Genna Ayup was a young mother who police say was shot and killed by her drunk boyfriend.
The suspect, Ronald Corbin, Jr., walked free after prosecutors said there was no evidence to support this was more than an accidental shooting.
Dozens of Genna's family and friends from all over the country showed up to City Hall Wednesday, wearing pink.
They went to show their support for Genna's Law, which would require breathalyzer tests in all investigations involving accidental shootings.
Corbin admitted to police that he had been drinking that night.
Family members are calling this "common sense legislation." The law has been introduced as House Bill 2631; it failed to get a hearing.
Family members are hoping city councils actions will send a strong message to Phoenix about the support there is for this bill.
"It's the first time I've been able to smile about anything in 9 months," said Toni Solheid, Ayup's mother. "It's time to wake up. Wake up and take a look at the law. See what it is. See the supporters there are."
"Our lobbyists came down this afternoon and let us know the bill has more traction than expected.. lot of traction this year," Ward 2 Councilman Paul Cunningham said.
In a move that surprised supporters, Councilman Steve Kozachik asked the city attorney to look into drafting a local ordinance, making Tucson the first city to adopt Genna's Law.
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