Yes, Jesus was eating matzo with his disciples.
But I actually meant to say that Easter/Pascha/Pesach/Passover is originally a Jewish/Hebrew feast, 'christianized' by the Christian church.
Jesus became the Christian Passover Lamb, slaughtered for man's sake.
Actually, I was just thinking about the fact that tonight is the first night of Passover. I'm taking a break from preparing for the Seder right now, while a load of dishes gets washed off in the dishwasher. Then it's back to wiping down, cutting up food, baking Passover rolls, and general kitcheny stuff.
But Easter is not a holy day with a fixed date precisely because the Church wanted to keep the link with Passover, and since the Jewish calendar is linked to the moon, Passover's date changes every year compared to the solar calendar. (Technically we use a solilunar calendar that involves inserting leap months seven times in a nineteen year cycle--or is it nine times in a seventeen year cycle? I don't have the time to actually check on that--to keep the holy days and festivals generally in accord with the actual seasons. Astronomers call it the Metonic cycle.) Therefore Easter's date changes. Passover always falls on the 15th of the Jewish month--on or very close to the full moon, since the 1s of the month is, with some adjustments, officially on the astronomical new moon-- so if you think of Passover as starting on the full moon closest to the vernal equinox, you won't be far off. It lasts for eight days (so this year it ends next Saturday at nightfall) and Easter generally but not always is the Sunday that falls during that eight day period. Sometimes it comes just before or just after--I assume that's because the Church doesn't follow along with every twist of the Jewish calendar's rules.
And as Marc notes, Christianity thinks of Jesus as being the ultimate Paschal Lamb: which is why the Church made sure to keep Easter's date in sync with Passover.