You have a set of (x,y) corordinates - like a list of .NET Point object - that form a line when plotted on a graph. If you are given a new (x,y) co-ordinate, find if it is a point in that line. (C#)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace Practice
{
    class Program
    {
        static void Main(string[] args)
        {
           
            List list = new List();
            Points P1 = new Points();
            P1.x = 2;
            P1.y = 4;
            Points P2 = new Points();
            P2.x = 6;
            P2.y = 1;
            Points P3 = new Points();
            P3.x = 7;
            P3.y = 4;
            list.Add(P1);
            list.Add(P2);
            list.Add(P3);
            Points P = new Points();
            P.x = 0;
            P.y = 7;
            int slope = findSlope(list);
            int newSlope = (P.y - P2.y) / (P.x - P2.x);
            Console.WriteLine((slope == newSlope).ToString());
            Console.ReadKey();
        }

//The structure of the Points object
  public  struct Points
       {
         public int x;
          public int y;
       }
public static int findSlope(List pointsList)
        {
    //    Get the 'X' and 'Y' values of any two points
        
           int x1 = pointsList.ElementAt(0).x;
            int x2 = pointsList.ElementAt(1).x;
            int y1 = pointsList.ElementAt(0).y;
            int y2 = pointsList.ElementAt(1).y;

//The slope is calculated by dividing the difference between Y co-ordinates by the difference of 'X' co-ordinates of two points

            int slope = (y2 -y1)/(x2 -x1);
            return slope;
        }
    }
}