The equation perpendicular to the plane z = 0, that is, perpendicular to the xOy plane, is set to Ax+By+D = 0,
If the plane intersects the vertical line, the normal vector is perpendicular to the vertical direction vector, and -B = 0.
If the plane passes through (1,-1, 1), then A-B+D = 0.
The simultaneous solution is B = 0 and D = -A a a.
The plane equation is Ax-A = 0 and x = 1.