Question:
$A$ is a point on the $x$-axis with abscissa $-8$ and $B$ is a point on the $y$-axis with ordinate 15. Find the distance AB.
Solution:
Given: The two points are $A(-8,0)$ and $B(0,15)$
Distance between A and B
$=\sqrt{(0+8)^{2}+(15-0)^{2}}$
$\Rightarrow \sqrt{64+225}$
$\Rightarrow \sqrt{289}$
$\Rightarrow 17$ units
Therefore, the distance between A and B is 17 units.