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
Correct Answer: B. 2
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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