# Math Help - Parametrization of Intersecting Curves

1. ## Parametrization of Intersecting Curves

Find a parametrization of the following curve:
The intersection of the plane with the sphere

x , y , z

I found y to be 7, but this is trivial. How can I find x and z for the parametrization? Please help!

2. Hi

Substituting $y=7$ in the equation yields $x^2+z^2=74-49=25$. What kind of curve is described by this ?

3. Got it, thanks!