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 \(\frac{5}{3}\)
waec 2016mathematics

The correct answer is C. \(\frac{3}{2}\)

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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