Calculate a point along the line A-B at a given distance from A

Question

I\'m going quite mad trying to calculate the point along the given line A-B, at a given distance from A, so that I can "draw" the line between two given points. It

Answer 1

Better approach (you can rename the struct if you need):

struct Vector2
{
    public readonly float X;
    public readonly float Y;

    public Vector2(float x, float y)
    {
        this.X = x;
        this.Y = y;
    }

    public static Vector2 operator -(Vector2 a, Vector2 b)
    {
        return new Vector2(b.X - a.X, b.Y - a.Y);
    }
    public static Vector2 operator +(Vector2 a, Vector2 b)
    {
        return new Vector2(a.X + b.X, a.Y + b.Y);
    }
    public static Vector2 operator *(Vector2 a, float d)
    {
        return new Vector2(a.X * d, a.Y * d);
    }

    public override string ToString()
    {
        return string.Format("[{0}, {1}]", X, Y);
    }
}

For getting the midpoint you just need to do the (a - b) * d + a action:

class Program
{
    static void Main(string[] args)
    {
        Vector2 a = new Vector2(1, 1);
        Vector2 b = new Vector2(3, 1);
        float distance = 0.5f; // From 0.0 to 1.0.
        Vector2 c = (a - b) * distance + a;
        Console.WriteLine(c);
    }
}

This will give you the point:

output:\> [2, 1]

All you need after that is to for(the distance; up toone; d += step) from 0.0 to 1.0 and draw your pixels.