Question
In what ratio does point$\Big(\frac{24}{11},\text{y}\Big)$ divide the line segment joining the points P(2, -2) and Q(3, 7)? Also, find the value of y.
✓
Answer
Let PA : AQ = k : 1
$\therefore \frac{2 + 3\text{k}}{\text{k + 1}} = \frac{24}{11}$
$\Rightarrow \text{k} = \frac{2}{9}$
Hence the ratio is 2 : 9.
Therefore $\text{y} = \frac{-18 + 14}{11} = \frac{-4}{11}$
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