How is prayer revealed in the New Testament?

Jesus' filial prayer is the perfect model of prayer in the New Testament. Jesus often prayed in solitude and in secret. His prayer began with thanksgiving to the Father. The Gospel according to St. Luke emphasises the action of the Holy Spirit and the meaning of prayer in Christ's ministry. Jesus prayed before the decisive moments of his mission. He also prayed before the decisive moments involving the mission of his Apostles. He included all men in his prayer, for he had taken on humanity in his Incarnation. He sympathized with there weaknesses inorder to free them. Jesus' prayer before his death on the cross was a humble and trusting commitment of his human will to the loving will of the Father. 

The prayer of Jesus teaches us how to pray. His prayer to his Father is the theological path (the path of faith, hope, and 

charity) of our prayer to God. Jesus told parables about the need to be persistent in prayer. From the Sermon on the Mount onwards, Jesus insists on conversion of heart. Once committed to conversion, the heart learns to pray in faith. Faith is a child-like adherence to God beyond what we feel and understand. In his teaching, Jesus taught his disciples to pray with a purified heart, with lively and persevering faith and with filial boldness. He called them to vigilance ; only by keeping watch in prayer could one avoid falling into temptation and invited them to present their petitions to God in his name . Jesus Christ himself answered every prayer addressed to him. The prayer of faith consists not only in saying "Lord, Lord," but in disposing the heart to do the will of the Father.Thus, Jesus calls hi disciples to bring into their prayer this concern for cooperating with the divine plan. 

The Gospel of St. Luke focusses on three important characters of prayer. 

1) The urgency of prayer: "Knock, and it will be opened to you." To the one who prays like this, the heavenly Father will give whatever he needs.

2) The necessity to pray without ceasing and with the patience of faith, and 

3) The importance of humility of the heart that prays : "God, be merciful to me a dinner!"

The Blessed Virgin Mary is the perfect Orans (pray-er), a figure of the Church. Mary's principal prayer was prayer of the heart, prayer in the heart, prayer with the heart.

Tradition tells us she was at prayer when the Angel appeared to her to tell her she was chosen to become the Mother of God. She contemplated  God's divine plan that she kept in her heart. Her prayers, in her Fiat: to be wholly God's, and in her Magnificat: the song of thanksgiving to God for the fullness of graces poured out upon her, are characterized by the generous offering of her whole being in faith.[ See CCC 2600-2622 ]