Question

Fill in the blanks with suitable words:
If a point $(x,y)$ lies above horizontal axis, then $y$ is always __________.

Answer 1

Let $(x,y)$ be a point that always lies above the horizontal axis.

So, this means it lies above the $x$-axis.

There are $2$ quadrants above $x$-axis that are $I^{st}$ and $I{I}^{nd}$ quadrant.

In both quadrants, the value of the $y$-coordinate will be positive.

Hence, if a point $(x,y)$ lies above the horizontal axis then $y$ is always positive.