# When did mathematician start to draw figures from equation?

I know that when solving geometric problem, Descartes used variables $x,y$ and derived equation such as $y^2=cy-\frac{cxy}{b}+ay-ac$. Conversely, in algebraic geometry, an arbitrary polynomial $F(X_1,...,X_n)$ is thought to define a geometric object as its zero set.

When was the first step in this direction taken?

• It would be Descartes, who created the idea of coordinates. – KCd Dec 28 '16 at 17:15