Derive the midpoint formula for points in the xy-plane.

What difficulties are you having with this?

This sounds like homework.
Can you show some of your thoughts on deriving this ?

I will provide some guidance.
The mid-point between two numbers, even when those numbers represent distances on an axis, is given by the average of the two.

1 hour ago, sologuitar said:

Derive the midpoint formula for points in the xy-plane.

Moderator Note

We’re not here to do your homework for you. You need to show what you’ve done to try and answer the question.

From the questions I'm guessing you are just starting co-ordinate geometry ?

I will add a bit to MigL's comment to help.

If you do a drawing for each of your questions, showing some angled line A B and the coordinate axes and dropping perpendiculars to both x and y axes your algebra is probably good enough

(I note from your previous questions that it was very neat and tidy)

to work out the derivations for yourself using Pythagoras.

Post your sketch and if you need more help, we will wee what we can do.

This sort of work is where the French habit of working on squared paepr rather than lined paper is very helpful.

Your drawing should start something like this