1.
right?, isn't it?
A sentence-ending expression seeking agreement or confirmation from the listener. Casual and friendly in tone.
2.
I know, that's right
Used as a response to express agreement with what someone just said.
Common patterns
だよね breaks down as だ (copula) + よ (assertion) + ね (seeking agreement). After verbs and い-adjectives, the だ is dropped: 高いよね, 行くよね. After な-adjectives and nouns, だ is kept: 静かだよね, 学生だよね.
Two functions
1. Seeking confirmation (with rising intonation): 明日、休みだよね? (Tomorrow's off, right?)
2. Expressing agreement (as a response): 「暑いね。」「だよね。」 ("Hot, huh." "I know, right.")
Forms
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Casual spoken Japanese. Used by all genders. Not appropriate in formal writing or business settings.