$\begin{array}{1 1}-6J\\-5J\\6J\\-15J\end{array} $

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Answer : -6J

We use the general definition of work (for a two-dimensional problem),

$W=\int\limits_{x_i}^{x_f}F_x(r)dx+\int\limits_{y_i}^{y_f} F_y(r)dy$

With $F_x=2x$ and $F_y=3$

$W=\int\limits_{2m}^{-4m}2xdx+\int\limits_{3m}^{-3m}3dy$

$\;\;\;\;=x^2\big|_{2m}^{-4m}+3x\big|_{3m}^{-3m}$

$\;\;\;\;=[(16)-(4)]J+[(-9)-(9)]J$

$\;\;\;\;=-6J$

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