Question 18

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Jambmaths question: 

The shaded region above is represented by the equation.

Option A: 

$y\le 4x+2$

Option B: 

$y\ge 4x+2$

Option C: 

$y\le -4x+4$

Option D: 

$y\le 4x+4$

Jamb Maths Solution: 

$\begin{align}  & \text{Slope of the line, }m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & \text{Let }({{x}_{1}},{{y}_{1}})=(1,0),\text{ }({{x}_{2}}{{y}_{2}})=(0,4) \\ & m=\frac{4-0}{0-1}=-4 \\ & \text{Equation of the line passing through point }\left( \text{1},0 \right)\text{ using one slope form equation} \\ & y-{{y}_{1}}=m(x-{{x}_{1}}) \\ & y-0=-4(x-1) \\ & y=-4x+4 \\\end{align}$Option  C

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