Question 36

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Jambmaths question: 

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x.

Option A: 

–5

Option B: 

–3

Option C: 

3

Option D: 

5

Jamb Maths Solution: 

$\begin{align}  & \text{let }({{x}_{1}},{{y}_{1}})=(x,4)\text{ and }({{x}_{2}},{{y}_{2}})=(1,2) \\ & m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & \frac{1}{2}=\frac{2-4}{1-x} \\ & 1-x=-4 \\ & x=5 \\\end{align}$

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