Align a line renderer on vertical/horizontal axis relative to a mesh

What I am trying to figure out is how can I do an alighnment on a vertical/horizontal axis relative to a mesh.

I use a raycast to position my points once 2 points have been set the line renderer renders between the 2 points with SetPosition and Quaternion.LookAt(hit.normal) to set the normal and the line is set to world space position. What I am trying to achieve is once the line renderer is set, with a button i want that line renderer to be set or rotated on a straight angle either vertically or horizontally relative to the mesh. (I already know how to setup the button. Anyone with helpfull advice would be great. thank you


I have drawn a quick mockup