A line through A 5 4 meets the line x 3y 2 0 2x y 4 0and x y 5 0 at B C and D respectively If ...........

A line through A (- 5, - 4) meets the line x+3y +2=0, 2x +y +4 =0and x - y - 5 = 0 at B, C and D respectively, If $\left ( \frac{15}{AB} \right )^{2}+\left ( \frac{10}{AC} \right )^{2}=\left ( \frac{6}{AD} \right )^{2}$ ., then the equation of the line is