Explicit form to parametric form

[ydan87]

Hi there,
I have the plane in an explicit form:
12x + 2y – 20z = -56

How do I make it in parametric form?

Thanks in advance

 

[mtayab1994]

Take for example the example of:

y=x^2

It can be parametrized by using a free parameter t as:

x=t and y=t^2 Hope I've helped you a bit.

 

[HallsofIvy]

A plane is two-dimensional so parametric equations will require two parameters. You can use any two of x, y, and z as as those parameters.

It might help you to remember that there is no "unique" parameterization for a geometric object. There may be many different ways to parameterize such a figure.