PQ and RS are two parallel lines If the coordin... - JAMB Mathematics 2006 Question

Gradient PQ, P(1,q) and Q(3,2)

(=\frac{(2-q)}{(3-1)} = \frac{(2-q)}{2})

Gradient of RS : R(3,4) and S(5,2q)

(= \frac{(2q-4)}{(5-3)}= \frac{(2q-4)}{2} = \frac{2(q-2)}{2})

= q-2

Since PQ and RS are parallel,

their generation are equal

(∴ \frac{(2-q)}{2} = q-2)

2-q = 2(q-2)

2-q = 2q-4

2+4 = 2q+q

6 = 3q

q = 2