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What is the slope of the following parametric curve defined by $(x(t), y(t))$ at the point when $t=1$ if $x(t) = \cfrac{{2{t^2} - 3}}{2}$ and $y(t) = 3{t^3}$?

$\cfrac {2}{9}$

$\cfrac {9}{2}$

$-6$

$-\cfrac{1}{6}$