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Question
Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k).
Solution
Given P(2, 4), Q (3, 6), R(3, 1), S(5, k)
PQ || RS so, slope of PQ = slope of RS
\[\frac{6 - 4}{3 - 2} = \frac{k - 1}{5 - 3}\]
\[ \Rightarrow \frac{2}{1} = \frac{k - 1}{2}\]
\[ \Rightarrow k - 1 = 4\]
\[ \Rightarrow k = 5\]
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