Is there a correct way to interpret the Bible, and how can we prove that that way is the right way?
The best way is to use the disciplines of hermeneutics and exegesis. Hermeneutics is the theory and methodology of interpretation, especially the interpretation of biblical texts, wisdom literature, and philosophical texts. Hermeneutics was initially applied to the interpretation, or exegesis, of scripture, and has been later broadened to questions of general interpretation.
The terms "hermeneutics" and "exegesis" are sometimes used interchangeably. Hermeneutics is a wider discipline which includes written, verbal, and non-verbalcommunication. Exegesis focuses primarily upon the word and grammar of texts.
Biblical hermeneutics is the study of the principles of interpretation of the Bible. While Jewish and Christian biblical hermeneutics have some overlap, they have distinctly different interpretive traditions.
"Biblical Exegesis" or interpretation, is used for greater specificity to distinguish it from any other broader critical text explanation. Exegesis includes a wide range of critical disciplines: textual criticism is the investigation into the history and origins of the text, but exegesis may include the study of the historical and cultural backgrounds for the author, the text, and the original audience. Other analyses include classification of the type of literary genres present in the text and analysis of grammatical and syntactical features in the text itself.