JACKSONVILLE, Fla. -

The Florida Supreme Court heard arguments Tuesday in the case of Rasheem Dubose, the man convicted of murdering 8-year-old DreShawna Davis in July 2006.

DreShawna (pictured below) was killed while watching a DVD with her two younger cousins in a bedroom at her grandparents' house.

Dubose and his two brothers, Tajuan and Terrell, fired 29 shots into the Northwest Jacksonville home.

The jury recommended life in prison for both of Rasheem's brothers and recommended the death penalty for Rasheem. The judge later followed through with those sentences.

Rasheem and his attorney appealed his conviction Tuesday in Tallahassee and are trying have his death sentence thrown out. Rasheem was not in court for the hearing.

The state also presented its argument at the hearing.

The court will discuss the case and make a decision on the appeal within the next few months. Once a decision is made, the ruling on the possible appeal will be announced by the court.

DreShawna's father and grandmother said they're ready for this whole process to be over after having gone through enough for the last seven years.

"She was my little angel, my everything," DreShawna's father, Andre Washington, said. "Like my mother said, she's still here, she's still in our family, she still looks over us."

"It will be a big relief for me, it will be a big relief, a big change," DreShawna's grandmother, Carlas Washington, said of when the process is over. "I mean, this is something serious. It was serious when it happened and it's still serious now."