HELP PLEASE GEOMETRY Give me 2 of how we can use the coordinate plane to prove geometric concepts or properties

For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it

Step-by-step explanation:

Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well

Hilbert can assign people to rooms by using a plot of first come first serve

i.e. For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it