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Question
Find the value(s) of k so that PQ will be parallel to RS. Given : P(2, 4), Q(3, 6), R(8, 1) and S(10, k)
Solution
Since, PQ || RS,
Slope of PQ = Slope of RS
Slope of PQ = `(6 - 4)/(3 - 2) = 2`
Slope of RS = `(k - 1)/(10 - 8) = (k - 1)/2`
∴ `2 = (k - 1)/2`
k – 1 = 4
k = 5
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