WAEC - Mathematics (2001 - No. 13)

Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.

p = 1, q = 3

p = 1, q = 2

p = -2, q = 3

p = 3, q = -2

y = px + q

5 = 3p + q ... (i)

4 = 2p + q ... (ii)

(i) - (ii) : p = 1

\(\therefore\) 5 = 3(1) + q

\(\implies\) q = 5 - 3 = 2

(p, q) = (1, 2)