If the line
Question:
If the line $2 \mathrm{x}+\mathrm{y}=\mathrm{k}$ passes through the point which divides the line segment joining the points $(1,1)$ and $(2,4)$ in the ratio $3: 2$, then $\mathrm{k}$ equals :
Correct Option: , 4
Solution:

$\Rightarrow \quad k=6$