divide the distance between two points

Question

I have two points(in two dimension) and I want to divide the distance between them to n part with same length, I was thinking about doing this manually by using for, but because it is numerical it wont be precise, so is there any way to do this? any help is appreciated.

Answer 1

In your original question you wrote, "n part with same length", which implies n+1 equispaced points and n equal segments between them.

In your followup comment you wrote "n points", which implies n-1 equal spaces between them.

It's now unclear which you actually want.

p1:=[2,4]:
p2:=[6,1]:

n:=7:

# n equal distances
S1:=Matrix([seq(p1+(p2-p1)*(i-1)/(n), i=1..n+1)]);

plot(S1, style=pointline,
     symbolsize=20, symbol=solidcircle);

# n equispaced points
S2:=Matrix([seq(p1+(p2-p1)*(i-1)/(n-1), i=1..n)]);

plot(S2, style=pointline,
     symbolsize=20, symbol=solidcircle);