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Given that y = px + q and y = 5 when x = 3,...

Mathematics
WAEC 2001

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
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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)


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