Question

Find the value(s) of k so that PQ will be parallel to RS. Given : P(3, −1), Q(7, 11), R(−1, −1) and S(1, k)

Answer 1

Since, PQ || RS,

Slope of PQ = Slope of RS

Slope of PQ = `(11 + 1)/(7 - 3) = 12/4 = 3`

Slope of RS = `(k + 1)/(1 + 1) = (k + 1)/2`

∴ `3 = (k + 1)/2`

k + 1 = 6

k = 5