Question

Find the equation of $x$ on $y$ on the basis of the following data:

$x$	$2$	$4$	$6$	$8$	$10$
$y$	$6$	$5$	$4$	$3$	$2$

• A. $x+2y=14$
• B. $x-2y=14$
• C. $2x+y=14$
• D. $2x-2y=14$

Answer 1

The correct option is A $x+2y=14$

Let the equation be $ax+by+c=0$

At $x=2,y=6$

$\Rightarrow 2a+6b+c=0$

At $x=4,y=5$

$\Rightarrow 4a+5b+c=0$

At $x=6,y=4$

$\Rightarrow 6a+4b+c=0$

Solving these, we get

$a=1$

$b=$4

$c=-14$

$\therefore$ Equation is $x+2y=14$