find the parameters of slicing

Hello everyone. Im working on 2D-3D image registration. as we Know, we can obtain a slice from a volume with 2 parameters: The Origin and the normal vector.(https://www.mathworks.com/matlabcentral/fileexchange/32032-extract-slice-from-volume)

In my situation, i have the answer. I mean, I have the slice obtained from the volume, my question is, how can i find the 2 parameters(origin and normal vector)? briefly, i have the volume and the slice obtained from it (with one origin and normal vector) , now i want to find the parameters that results this slice from volume.

Thanks for your attention