Question

Which of the following equation represents a straight line which is parallel to the $x$-axis and at a distance $3$ units below it?

• A. Any line parallel to $x$-axis and at a distance of $3$ units below it is given by $y=9$
• B. Any line parallel to $x$-axis and at a distance of $3$ units below it is given by $y=-3$
• C. Any line parallel to $x$-axis and at a distance of $3$ units below it is given by $x=-3$
• D. Any line parallel to $x$-axis and at a distance of $3$ units below it is given by $x=0$

Answer 1

Answer: (B)

Any line parallel to $x$-axis and at a distance of $3$ units below it is given by $y=-3$

Any straight line parallel to $x-$axis is given by $y=k,$ where $k$ is the distance of the line from $x-$axis. Here $k=-3,$ because it is below $x$ axis then the equation of the line is $y=-3$.