This is a great question. In fact, Luke 24, which has the account of Jesus' discourse with his disciple on the road of Emmaus, is one of the most important chapters in the whole New Testament.
In this chapter, we see the resurrected Jesus. He is walking with his disciples, but oddly they do not recognize him. In other words, they are blinded to what he has been saying all along. He has been telling them that there would be a resurrection, but they do no understand. Their understanding is so dim that he is right before them and they still do not understand.
In light of this, Jesus comes back to his disciples and offers them a lesson in interpretation. To use a more fancy word, he offers them a hermeneutic, a way of looking at the scriptures. He states:
"He said to them, 'This is what I told you while I was still with you: Everything must be fulfilled that is written about me in the Law of Moses, the Prophets and the Psalms.' Then he opened their minds so they could understand the Scriptures. He told them, 'This is what is written: The Messiah will suffer and rise from the dead on the third day, and repentance for the forgiveness of sins will be preached in his name to all nations,beginning at Jerusalem.'" Luke 24:44-47
In particular, he states that all of the Hebrew Bible / Old Testament points to the death and resurrection of Jesus. When we read the rest of the New Testament, we can see that they learned their lesson well. The message of the New Testament really is about the death and resurrection of Jesus. This hermeneutical goal cannot be under emphasized.
Another significant point is that Jesus actually came to his disciples. In other words, there was a resurrection.