Find the ratio in which the point $\left(\frac{8}{5}, y\right)$ divides the line segment joining the points $(1, 2)$ and $(2, 3)$. Also, find the value of $y$.

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Accepted Answer

Step 1: Let $AP : PB = k : 1$
$\frac{2k + 1}{k + 1} = \frac{8}{5}$
Step 2: $\Rightarrow k = \frac{3}{2}$
$	herefore$ Required ratio is $3 : 2$
Step 3: $y = \frac{3 	imes 3 + 2 	imes 2}{3 + 2} = \frac{13}{5}$

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