ELIMINATING THE PARAMETER

A parametric curve and a rectangular curve look exactly the same on the coordinate plane. Writing a set of parametric equations as a rectangular equation can be done with a method that is similar to solving a system of equations. Here are some steps that will help:

1) Isolate the parameter in one equation.

2) Substitute into the second equation.

3) Rewrite or simplify the second equation.

4) Graph the equation.

5) Determine the orientation.

Khan Academy Practice:

Eliminating the Parameter