10.6 Exercise 54

Parameterize (write parametric equations for) each Cartesian equation by using $x \left(t\right) = a \cos t$ and $y \left(t\right) = b \sin t .$ Identify the curve.

Parameterize the line from $\left(−1 , 0\right)$ to $\left(3 , −2\right)$ so that the line is at $\left(−1 , 0\right)$ at $t = 0 ,$ and at $\left(3 , −2\right)$ at $t = 1.$