My, your, his, her etc are possessive adjectives. They are used with nouns. In Spanish they are as follows:
Subject Pronouns | English possessive adj | Masc singular | Fem singular | Masc plural | Fem plural |
TO | MY | Mi | Mi | Mis | Mis |
TU | YOUR | Tu | Tu | Tus | Tus |
EL,ELLA,USTED | HIS,HER,YOUR | Su | Su | Sus | Sus |
NOSOTROS | OUR | Nuestro | Nuestra | Nuestros | Nuestras |
VOSOTROS | YOUR | Vuestro | Vuestra | Vuestros | Vuestras |
ELLOS,ELLAS,USTEDES | THEIR,YOUR | Su | Su | Sus | Sus |
Since they are adjectives, they agree with the noun they describe.