Straight Lines And Pair Of Straight Lines

The straight lines \(\mathrm{l_{1}}\) and \(\mathrm{l_{2}}\) pass through the origin and trisect the line segment of the line L : \(9 x+5 y=45\) between the axes. If \(\mathrm{m}_{1}\) and \(\mathrm{m}_{2}\) are the slopes of the lines \(\mathrm{l_{1}}\) and \(\mathrm{l_{2}}\), then the point of intersection of the line \(\mathrm{y=\left(m_{1}+m_{2}\right)}x\) with L lies on :