Question

Select the option in which all the three ordered pairs have the same relationship between their x and y coordinates, and can be plotted on the given coordinate grid.

Answer 1

$\text{Option A:}$

$x$	Relation	$y$
$2$	$y=2x$	$4$
$3$	$y=2x$	$6$
$4$	Do not follow the above relation	$10$

The $x$ and $y-$coordinates of all the three ordered pairs do not follow the same relation. Hence, this option is incorrect.

$\text{Option B:}$

$x$	Relation	$y$
$4$	$y=2x$	$8$
$2$	$y=2x$	$4$
$3$	$y=2x$	$6$

$\text{Option C:}$

$x$	Relation	$y$
$4$	$y=2x$	$8$
$5$	$y=2x$	$10$
$6$	$y=2x$	$12$

The $x$ and $y-$coordinates of all the three ordered pairs do not follow the same relation.
(5, 10) and (6, 12) cannot be plotted since the coordinates 10 and 12 are not on the given coordinate grid.

$\text{Option D:}$

$x$	Relation	$y$
$1$	$y=3x$	$3$
$2$	$y=3x$	$6$
$3$	$y=3x$	$9$

The $x$ and $y$ coordinates of all the three ordered pairs follow the same relation.
(3, 9) cannot be plotted since coordinate 9 is not on the given coordinate grid.
Hence, option B is correct.