Question

Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k).

Answer 1

Given P(2, 4), Q (3, 6), R(3, 1), S(5, k)

PQ || RS so, slope of PQ = slope of RS 

\[\frac{6 - 4}{3 - 2} = \frac{k - 1}{5 - 3}\]

\[ \Rightarrow \frac{2}{1} = \frac{k - 1}{2}\]

\[ \Rightarrow k - 1 = 4\]

\[ \Rightarrow k = 5\]