Basically it is a part of faith to believe in the Prophets (upon them peace) as mentioned above. A Muslims faith is not complete without it. We believe that they were Prophets (upon them peace) led exemplar lives etc. The only real difference is that we believe that Jesus (upon him peace) was a Prophet and not anything above that.
Below are links to the verses that the Prophets (upon them peace) are motioned.
"Say (O Muslims): We believe in Allah and that which is revealed unto us and that which was revealed unto Abraham, and Ishmael, and Isaac, and Jacob, and the tribes, and that which Moses and Jesus received, and that which the prophets received from their Lord. We make no distinction between any of them, and unto Him we have surrendered.
( سورة البقرة , Al-Baqara, Chapter #2, Verse #136)"