Eliminating the parameter for a linear equation?

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I have a set of parametric equations that graphs as a straight line, but I can't figure out how to eliminate the parameter. When I plug in the $t=x/\cos^2$ value into the y equation, I can't simplify it out to anything useful. All help is appreciated! The equations are as follows:

$x=\cos^2t$

$y=-2\sin^2t$

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$$x=\cos^2t$$

$$-\frac{y}{2} = \sin^2t$$

Adding the two equations, we obtain

$$x-\frac{y}{2}=1$$

Also note that, $$ 0 \leq x \leq 1$$ $$-2 \leq y \leq 0$$