chem question ph

The numerical value of Kw increases with increasing temperature.
Place a tick () in the appropriate column in each row to show the effect of increasing the
temperature of water on the pH and on the ratio [H+]:[OH–]
Please could I have some help on this? Why would the ph decrease if the equilibrium shifts to the right so the conc of H+ and oh- will increase? Thanks!

The ionisation of pure water is an endothermic process so using the equation:
H2​O ⇌ H+ + OH−
We can see that the concentration of OH- and H+ would increase. We calculate pH using -log[H+] = pH and since the concentration of H+ ions has increased at a higher temperature this would mean that the pH decreases using the formula. However the ratio of OH- and H+ stays the same since one H+ ion is produced for every OH-.
Hope that makes sense