Question

what was the purpose of the coordinate graphing system described by descartes in his book discourse on method?
○ to use algebraic methods to solve geometric problems
○ to prove the universe was sun - centered
○ to represent equations for the queen of sweden
○ to prove his own existence

Explanation:

Descartes' coordinate system (Cartesian coordinates) created a link between algebra and geometry, enabling the use of algebraic equations to model and solve geometric problems. The other options are unrelated: proving a heliocentric universe is tied to astronomers like Copernicus, the queen of Sweden connection is about his tutoring work not the coordinate system, and "proving his own existence" refers to his philosophical statement "cogito ergo sum".

Answer:

to use algebraic methods to solve geometric problems