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 :