Find a parametrization of the following curve:

The intersection of the plane https://webwork.math.lsu.edu/webwork...96d2858661.png with the sphere https://webwork.math.lsu.edu/webwork...062145e551.png

https://webwork.math.lsu.edu/webwork...30692045c1.png x , y , z https://webwork.math.lsu.edu/webwork...a27ce889b1.png

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