# Fit that curve!

Geometry Level 4

True or false:

$$\quad$$ We can fit a cubic through any nine points in $$\mathbb{R}^2$$.

Clarification: A cubic is a curve in $$\mathbb{R}^2$$ given by an equation of the form $$c_1+c_2x+c_3y+c_4x^2+c_5xy+c_6y^2+c_7x^3$$$$+c_8x^2y$$$$+c_9xy^2+c_{10}y^3$$$$=0$$, where at least one of the coefficients $$c_k$$ is nonzero.

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