Question

The graph of $y=6$ is a line

• A. parallel to $x-$axis & at a distance of $6$ units from the $x-$axis.
• B. parallel to $y-$axis at a distance of $6$ units from the origin.
• C. making an intercept $6$ on the $x-$axis.
• D. making an intercept $6$ on both the axes.

Answer 1

The correct option is A parallel to $x-$axis & at a distance of $6$ units from the $x-$axis.

The given equation is $y=6$
We can write it as $y=0.x+6$
i.e. for every value of $x$, we have $y=6$
So, the points are $(0,6),(-1,6),(1,6),(3,6)....$
On plotting these points, we get a straight line parallel to the $x-$axis at a distance of $6$ units from the $x-$axis.