PDF chapter test

Line parallel to the $$x$$ - axis:

Consider drawing a line parallel to the $$x$$ - axis. If the distance from the $$x$$ - axis and the line is the same, then, the line can be represented as $$y = c$$ (where $$c$$ is a constant).

Line parallel to the $$y$$ - axis:

Consider drawing a line parallel to the $$y$$ - axis and the distance between the $$y$$ - axis and the line is the same, then, the line can be represented as $$x = c$$ (where $$c$$ is a constant).
Example:
Draw the graph of $$y = 2$$.

Solution:

$$y = 2$$ means that whatever be the value of $$x$$, the value of $$y$$ is $$2$$.

Now, let us form the table.

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

Therefore, the points are $$(-1,2)$$, $$(0,2)$$, $$(1,2)$$, $$(2,2)$$, and $$(3,2)$$ and name them as $$A$$, $$B$$, $$C$$, $$D$$ and $$E$$ respectively.

Now, plot these points in the graph and join them.

Now, we get a straight line parallel to $$x$$ - axis which is at a distance of $$2$$ units from the $$x$$ - axis.