We have $\mathbf{r}(t) = t \mathbf{i} + (1-t) \mathbf{j}$.
The $x$-coordinate of $\mathbf{r}(t)$ is given by $x(t) = t$, and the $y$-coordinate is given by $y(t) = 1-t$.
So the parametric equations are $x(t) = t$ and $y(t) = 1-t$.
Now let's look at the
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