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Questions & Answers about Твой компьютер новый?
Why do we use твой instead of твоя or твоё here?
Твой means 'your' (informal). In Russian, possessive pronouns must match the gender of the thing being owned, not the gender of the owner. Since компьютер (computer) ends in a consonant, it is a masculine noun. Therefore, we use the masculine form твой.
If I wanted to ask someone this formally or ask a group of people, how would the sentence change?
You would replace the informal твой with the formal or plural ваш ('your'). It stays in the masculine form to match компьютер, making the sentence: Ваш компьютер новый?
Why does the adjective новый (new) end in -ый?
Adjectives, just like possessive pronouns, must match the gender of the noun they describe. The -ый ending is the standard masculine ending for adjectives, which perfectly matches the masculine noun компьютер.
Where is the word for 'is' in this sentence?
In Russian, the present tense of the verb 'to be' ('am', 'is', 'are') is almost always skipped. Instead of changing the word order or adding a helping verb like we do in English, you simply say 'Your computer new' and turn it into a question by raising your voice at the end.