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Find the ratio in which the point $(\frac{8}{5}, y)$ divides the line segment joining the points $(1, 2)$ and $(2, 3)$. Also, find the value of $y$.
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Let AP: PB = $k : 1$ $\frac{2k+1}{k+1} = \frac{8}{5} \Rightarrow k = \frac{3}{2} \therefore$ required ratio is $3: 2$. $y = \frac{3\times 3+2\times 2}{3+2} = \frac{13}{5}$_a_1.png)