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
$$\begin{gathered} \frac{6-4}{3-2}=\frac{k-1}{5-3} \\ \Rightarrow \frac{2}{1}=\frac{k-1}{2} \\ \Rightarrow k-1=4 \\ \Rightarrow k=5 \end{gathered}$$