how can we find the intersect points of these two plots?

for y=-3:1:5;
    G=[];
    B=[];
    for a=1:1:50
        z=10;
        x=a+y;
        G=[G x];
        b=z+30;
        B=[B b];
    end
    B;
    G;
    a=1:1:50;
    plot(a,G,'-')
    hold on
    plot(a,B,'-')
end

[Rik]

You have put the names of several people in the tags (which doesn't actually do anything), you didn't format or run your code (I just did that for you), and instead of 2 lines you have 10 lines.

So what actually is your question?

Answer 1

[Oguz Kaan Hancioglu]

Since B is constant it is easy to find the intersect point of lines using find command. Editted code listed below.

for y=-3:1:5;
    G=[];
    B=[];
    for a=1:1:50
        z=10;
        x=a+y;
        G=[G x];
        b=z+30;
        B=[B b];
    end
    B;
    G;
    a=1:1:50;
    plot(a,G,'-')
    hold on
    plot(a,B,'-')
    % find index
    x = find(G == B(1));
    % print intersect points
    fprintf('intersect points = %.2f at %d, index number = %d\n',G(x),a(x),x);
    % print intersect points on the plot
    plot(a(x),G(x),'ro');
end

intersect points = 40.00 at 43, index number = 43
intersect points = 40.00 at 42, index number = 42
intersect points = 40.00 at 41, index number = 41
intersect points = 40.00 at 40, index number = 40
intersect points = 40.00 at 39, index number = 39
intersect points = 40.00 at 38, index number = 38
intersect points = 40.00 at 37, index number = 37
intersect points = 40.00 at 36, index number = 36
intersect points = 40.00 at 35, index number = 35

Best,

Answer 2

[Sulaymon Eshkabilov]

Here is how to compute the intersect points of the plotted set of data points:

clearvars
close all
y=-3:1:5;
a=1:50;
for ii=1:numel(y)
    G=[];
    B=[];
    for jj=1:numel(a)
        z=10;
        x=a(jj)+y(ii);
        G=[G x];
        b=z+30;
        B=[B b];
    end
    plot(a,G,'-')
    hold on
    plot(a,B,'--')
    Intersect = find(abs(B-G)==0);
    ai = a(Intersect);
    Gi = G(Intersect);
    plot(ai, Gi, 'ro', 'MarkerFaceColor','y')
end

Answer 3

[Askic V]

I think this small code snippet can be useful to you in future if you have a bit more general case:

x = 0:0.1:5;
y_val = 4*x-2;

intersect_points = [];
m = 2; 
n = [1 2 3 4 5];
for i = n
    y = m*x+i;
    plot(x, y);
    hold on
    xisx = interp1(y-y_val, x, 0);
    yisx = m*xisx+i;
    plot(xisx, yisx,'o')
    intersect_points = [intersect_points; xisx, yisx];
end
plot(x, y_val);
grid on

intersect_points

intersect_points = 5×2

1.5000 4.0000 2.0000 6.0000 2.5000 8.0000 3.0000 10.0000 3.5000 12.0000