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The gradient of the line passing through the points P(4, 5) and Q(x, 9) is...

Further Mathematics
WAEC 2007

The gradient of the line passing through the points P(4, 5) and Q(x, 9) is \(\frac{1}{2}\). Find the value of x.

  • A. -4
  • B. 0
  • C. 4
  • D. 12
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Correct Answer: Option D
Explanation

\(Gradient = \frac{y_{1} - y_{2}}{x_{1} - x_{2}} \)

\(\frac{1}{2} = \frac{5 - 9}{4 - x}\)

\(\frac{1}{2} = \frac{-4}{4 - x} \implies -8 = 4 - x\)

\(x = 4 + 8 = 12\)


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