Why are the coordinate axis on most of the graphs always irrational? That is why don't we usually use coordinate axis which is devised on rational numbers?
My friend stated that its because most lines such as $y=e$ cannot be plotted on a rational grid system. But that cannot be true since $e$ does have a rational number summation ($2+\frac{1}{10}+\frac{7}{100}...$) which can be utilised to plot $y=e$ on the rational coordinate system.
So why don't we use rational number coordinate system?
P.S. By irrational grid system I mean a grid in which $\pi,e$ can be plotted.
It’s all a question of scale, my friend!
As you can see, some graphs use incrementation in multiples of rational numbers, while others use incrementation in multiples of irrational numbers.
Either way, irrational numbers can be plotted on both. You might even use a mix, such as an increment for every integer multiple of $1$ as well as an increment for every integer multiple of $\pi$ (or $e$ if you’re into that)!