Question

The graph of the line $y=6$ is a line that is:

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

Answer 1

The correct option is A Parallel to x-axis at a distance of 6 units from the origin.

$y=6\Rightarrow$ a line where the y-coordinate of all points in the line is $6$.

So, some points in the line would be $(0,6),(1,6),(-1,6)$,etc.

If we draw a line joining any of the two points above, we would get a graph which is shown above.

The line is $6units$ away from origin and is parallel to x-axis.

$y-intercept=6$

So, the answer is $\left[A\right]$.