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A line passes through the origin and the point \((1\frac{1}{4}, 2\frac{1}{2})\), what is the gradient...

Further Mathematics
WAEC 2015

A line passes through the origin and the point \((1\frac{1}{4}, 2\frac{1}{2})\), what is the gradient of the line?

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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Correct Answer: Option B
Explanation

\(Gradient = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\)

Line passing through \((0, 0)\) & \((1\frac{1}{4}, 2\frac{1}{2})\),

\(Gradient = \frac{2\frac{1}{2} - 0}{1\frac{1}{4} - 0} = \frac{\frac{5}{2}}{\frac{5}{4}} \)

= 2.


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