It is evident from the coordinates of two vertices that these lie on line x=3 as shown in the diagram below. Let the coordinates of the centre C be (h,k). The equation of a hyperbola with vertical transverse axis with centre (h,k) is (y-k)² / a² – (x-h)² /b² =1 and its asymptotes are y= k + a/b (x-h) and y = k – a/b (x-5) . Now we rewrite the given equations of two asymptotes as discussed below