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

A.
p = 1, q = 3 
B.
p = 1, q = 2 
C.
p = 2, q = 3 
D.
p = 3, q = 2
Correct Answer: Option B
Explanation
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)