How to intersect these lines?

Hi all! Given below is the code for plottong three lines given any two arbitrary points per line. I have to find the vertices of the intersection points of these lines. I am getting the plot , but they are not intersecting. I have attached the image below, please help!!

    %For Line 1
      [x1] = input('Enter the value of 1st coord');
      [y1] = input('Enter the value of 1st coord');
      t = linspace(0,1);
      xa = x1(1)+ (y1(1)-x1(1))*t;
      ya = y1(1) + (y1(2)-x1(1))*t;
   %For Line 2
      [x2] = input('Enter the value of 1st coord');
      [y2] = input('Enter the value of 1st coord');
      u = linspace(0,1);
      xb = x2(1)+ (y2(1)-x2(1))*u;
      yb = y2(1) + (y2(2)-x2(1))*u;
   %For Line 3
      [x3] = input('Enter the value of 1st coord');
      [y3] = input('Enter the value of 1st coord');
      v = linspace(0,1);
      xc = x3(1)+(y3(1)-x3(1))*v;
      yc = y3(1)+(y3(2)-x3(1))*v;
      plot(xa,ya,xb,yb,xc,yc);

Answer 1

[David Sanchez]

I give you the code for two lines, you extend it to three (do it by pairs

    if true
      % code
    end): 

      %For Line 1
        [x1] = [2 3];%input('Enter the value of 1st coord');
        [y1] = [3 4];%input('Enter the value of 1st coord');

        ma = (y1(2)-y1(1))/(x1(2)-x1(1));
        na = y1(1) - ma*x1(1);

     %For Line 2
        [x2] = [2 4];%input('Enter the value of 1st coord');
        [y2] = [2 -3];%input('Enter the value of 1st coord');

        mb = (y2(2)-y2(1))/(x2(2)-x2(1));
        nb = y2(1) - mb*x2(1);

syms x
solve(x*ma + na == x*mb + nb)

ans =

12/7

[David Sanchez]

syms x
x=solve(x*ma + na == x*mb + nb)
x=

12/7

y=x*ma+na
y =

19/7

[Emmanuel]

Hi! Thankyou for your reply. With regard to your reply for the previous post, the code is here:

for i=1:1:3

[A] = input('enter the 1st co-ordinate of the line');
[B] = input('enter the 2nd co-ordinate of the line');
xlim = [-10 10];

m = (B(2)-B(1))/(A(2)-A(1));
n = B(2)*m - A(2);

y1 = m*xlim(1) + n;
y2 = m*xlim(2) + n;
hold on
line([xlim(1) xlim(2)],[y1 y2])
plot(y1,y2)
hold off
end

%SAMPLE OUTPUT
%enter the 1st co-ordinate of the line[1,5]
%enter the 2nd co-ordinate of the line[3,2.5]
%enter the 1st co-ordinate of the line[3,1]
%enter the 2nd co-ordinate of the line[4,1]
%enter the 1st co-ordinate of the line[4,1]
%enter the 2nd co-ordinate of the line[4.5,5.8]

When I plot this on a paper and the output graph by matlab varies a lot. if i change the xlim to [0 20] , the lines do not intersect at all. Why does the output from matlab varies from that of the paper graph even if I use the same scale? Ihave attached the output plot. Can we like rectify it?