Jambmaths question:
In the figure above, what is the equation of the line that passes the y – axis at (0, 5) and passes the x – axis at (5,0)
Option A:
y = x – 5
Option B:
y = –x – 5
Option C:
y = x + 5
Option D:
y = –x +5
Jamb Maths Solution:
$\begin{align} & \text{from the graph} \\ & ({{x}_{1}},{{y}_{1}})=(0,5) \\ & ({{x}_{2}},{{y}_{2}})=(5,0) \\ & \text{Using two point form equation} \\ & \frac{y-{{y}_{1}}}{x-{{x}_{1}}}=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & \frac{y-5}{x-0}=\frac{0-5}{5-0} \\ & \frac{y-5}{x}=\frac{-5}{5} \\ & y-5=-x \\ & y=-x+5 \\\end{align}$
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