Question

Graph of $y=6$ is a line:

• A. parallel to the $x$-axis at a distance of $6$ units from the $x$-axis
• B. parallel to the $y$-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 the $x$-axis at a distance of $6$ units from the $x$-axis

Plot the Line:

The given equation is $y=6$,

Therefore, for any value of $x$, $y$ will always equal to $6$. i.e., it will pass through $y$-axis and not $x$-axis.

Let us plot this line on the graph.

From this diagram, we can see that $y=6$ is a line that is parallel to the $x$-axis at a distance of $6$ units from the $x$-axis.

Hence, option $\left(A\right)$ is the correct answer.