Question

What are the slope of $x-\mathrm{axis}$ and $y-\mathrm{axis}$?

Answer 1

Step 1. Slope of $x-\mathrm{axis}$.

The slope of a line is equal to the tangent of the angle at which the line is inclined to $x-\mathrm{axis}$.

$x-\mathrm{axis}$ is inclined at $0°$ with itself.

Thus,

$\begin{array}{rcl}\mathrm{slope}\mathrm{of}x-\mathrm{axis}& =& \tan \left(0°\right)\\ & \Rightarrow & \mathrm{slope}\mathrm{of}x-\mathrm{axis}=0\end{array}$

Step 2. Slope of $y-\mathrm{axis}$.

$y-\mathrm{axis}$ is perpendicular to $x-\mathrm{axis}$, that is, it is inclined at $90°$ to $x-\mathrm{axis}$.

Thus,

$\begin{array}{rcl}\mathrm{slope}\mathrm{of}y-\mathrm{axis}& =& \tan \left(90°\right)\\ & \Rightarrow & \mathrm{slope}\mathrm{of}y-\mathrm{axis}=\mathrm{undefined}\end{array}$

Hence, the slope of $x-\mathrm{axis}$ and $y-\mathrm{axis}$ is $0$and undefined respectively.