10.6 Exercise 56

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 $\left(4 , 1\right)$ to $\left(6 , −2\right)$ so that the line is at $\left(4 , 1\right)$ at $t = 0 ,$ and at $\left(6 , −2\right)$ at $t = 1.$