waecmaths question:
A straight line passes through the points P(1, 2) and Q(5, 8). Calculate the gradient of the line PQ
Option A:
$\tfrac{3}{5}$
Option B:
$\tfrac{2}{3}$
Option C:
$\tfrac{3}{2}$
Option D:
$\tfrac{5}{3}$
waecmaths solution:
$\begin{align} & P({{x}_{1}},{{y}_{1}})=(1,2) \\ & Q({{x}_{2}},{{y}_{2}})=(5,8) \\ & gradient=m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & m=\frac{8-2}{5-1} \\ & m=\frac{6}{4}=\frac{3}{2} \\\end{align}$
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