Question

What do the points given in the table below represent?

$x$	$-3$	$-2$	$0$	$1$	$3$
$y$	$-2$	$-2$	$-2$	$-2$	$-2$

• A. line parallel to $x$-axis; $y=2$
• B. line parallel to $y$-axis; $x=-2$
• C. line parallel to $x$-axis; $y=-2$
• D. line parallel to $y$-axis; $x=2$

Answer 1

The correct option is C line parallel to $x$-axis; $y=-2$

The given points are $(-3,-2)$; $(-2,-2)$; $(0,-2)$; $(1,-2)$; $(3,-2)$, which can be plotted on the cartesian plane as


After joining all the given points, we get a straight line, parallel to $x$-axis. The common thing about each point here is that their $y$-coordinates are same and its value is $-2$.

This means the line formed after joining all the points is represented by the equation $y=-2$, which is parallel to $x$-axis.