Answer:
[tex]\mathrm{A.\:}x+2y=a[/tex]
Step-by-step explanation:
In standard form [tex]ax+by=c[/tex], any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:
We can write the following system of equations from two points from the table:
[tex]\begin{cases}d\cdot3a+e\cdot(-a)=f\cdot a\\d\cdot5a+e\cdot(-2a)=f\cdot a\end{cases}[/tex]
Solving, we get:
For [tex]a \notin 0[/tex],
[tex]d=1,\\e=2,\\f=1[/tex]
Therefore, our equation is:
[tex]dx+ey=fa,\\1x+2y=1a,\\\fbox{$x+2y=a$}[/tex].
