Given 35 points, how many lines can be drawn that contain two of the 35 points?

Question

Given 35 points, how many lines can be drawn that contain two of the 35 points?

Answer 1

Let's look at a smaller number of points to see if we can develop a pattern. So if you have 2 points, 1 line can be drawn that contains two points. If you have 3 points, 3 lines can be drawn that contain 2 points. If you have 4 points, 6 lines can be drawn. If you have 5 points, then 10 lines can be drawn. So the amount of lines that connect two points of an n number of points is basically the amount of sides a polygon with n sides has plus the amount of diagonals a polygon with n sides has. This would be (n^2-n)/2. So if n=35, we get 595