Sweden pulled away from the opponents, who are the lowest ranked in the group, already at 6-6 and after the first period the position was 20-11.
In the second period, Slovakia kept a more even pace and when it was over, the score was 33-24.
It was a half game that may have lacked good play, but where the Swedes were more efficient.
Tough first half, with great physical play.
I think we make a good first half, says Frida Eldebrink at half time.
After the break, Sweden went out and dominated.
The defense continued to be strong and in the attacking game more playfulness was seen.
They won the period by a full 25-6 and took a big lead.
It decreased a bit in the final period and the result was 74-57.
Sisters Frida and Elin Eldebrink were the best scorers in Sweden with 17 and 15 points respectively in the big win.
Match already tomorrow
Sweden has two group games left.
Tomorrow they meet the reigning European champion Spain and on Sunday they face Belarus.
They miss the stars Amanda Zahui, Regan Magarity and Louice Halvarsson and in a team with many debutants, a good start was extra important.
Slovakia also lacked a couple of prominent players.
The group winner goes straight to the quarterfinals, while the second and third must first win a quarterfinal to get there.
SVT broadcasts all of Sweden's matches in the European Basketball Championship.