The given equation of parabola is 14x2+38xy+20y2+x−7y−91=0 Factorize 14x2+38xy+20y2=0 (7x+5y)(2x+4y)=0 The first asymptote is 7x+5y−3=0 The second asymptote is 2x+4y+k=0 The combine equation of the asymptote is (7x+5y−3)(2x+4y+k)=0 Compare the coefficient of x. 7k−6=1 k=1 Therefore, the equation of the above asymptote is 2x+4y+1=0