Jambmaths question:
The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x
Option A:
–3
Option B:
–5
Option C:
5
Option D:
3
Jamb Maths Solution:
$\begin{align} & ({{x}_{1}},{{y}_{1}})=(x,4) \\ & ({{x}_{2}},{{y}_{2}})=(1,2) \\ & \text{Gradient}=m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & \frac{1}{2}=\frac{2-4}{1-x} \\ & \frac{1}{2}=\frac{-2}{1-x} \\ & 1-x=-4 \\ & x=5 \\\end{align}$
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