A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the...
MATHEMATICS
WAEC 2016
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
- A. \(\frac{3}{5}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{3}{2}\)
- D. \(\frac{5}{3}\)
Correct Answer: C. \(\frac{3}{2}\)
Explanation
Let: (x1, y1) = (1, 2)
(x2, y2) = (5, 8)
The gradient m of \(\bar{PQ}\) is given by
m = \(\frac{y_2 y_1}{x_2 - x_1}\)
= \(\frac{8 - 2}{5 - 1}\)
= \(\frac{6}{4}\)
= \(\frac{3}{2}\)
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