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)

Answer 1

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