Question

What do we call the mathematical field of study credited to french mathematician-philosopher rene descartes?

Answer 1

cartesian geometry

The plot that we know of as a graph was the brainchild of the French mathematician-philosopher Rene Descartes  1596-1650 . His studies in mathematics led him to develop what was known as Cartesian geometry, including the idea of our current graphs. The coordinates are often referred to as Cartesian coordinates.