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Use the graph above to find the values of p and q if px + qy \(\geq\)...

Mathematics
JAMB 2002

Use the graph above to find the values of p and q if px + qy \(\geq\) 4

 

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

m = \(\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}\)

\(\frac{y_2 - y_1}{x_2 - x_1} \geq m\)

\(\frac{y - 0}{x + 4} \geq \frac{1}{2}\)

2y \(\geq\) x + 4, -x + 2y \(\geq\) 4 = px + qy \(\geq\) 4

p = -1, q = 2


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