One of the great example of intercessory prayer is by Moses in Exodus 32. The people had sinned greatly and God said he would bless Moses in their place. But Moses interceded for them in prayer. And as you look at the prayer you see him praying three things.
1. That he would carry on the work of deliverance he had begun. He prayed that as God had begun the great work of delivering his people that he would not now forsake them but would carry on that work (vs. 11)
2. That he would act for the glory and reputation of his own name. He prayed that God would consider the blasphemy of his enemies who would speak against him if he destroyed his people and called upon him to uphold his own glory. (Vs. 12)
3. That he would remember his covenant promise and be faithful to fulfill it. Moses reminded God of his promises to Abraham, Isaac, and Jacob which extended to their descendents and ask him to mercifully and faithfully fulfill the promises he made.
Each of these ways of interceding can be modeled and applied by us. We can and should give God good reasons to answer our prayers, biblical reasons. When we do, not only do we put good reasons before God, but we are helped to be sure that we are praying according to his will and the values and priorities of the Scriptures themselves. This should give us a much greater confidence and hope that God will be pleased to hear and answer our prayers just as he did in this case with Moses.