How can I find intersection points without mouse?

Hi,

I hope you are keeping safe.

Couls you please help me regarding my matlab code, It is urgent and I would appreciate if you help me. I want to find intersections in this plot without mouse(Using code).

%% Input Parameters
clear all
clc
alpha1=input('Enter positive "alpha1"?');
alpha2=input('Enter positive  "alpha2"?');
beta1=input('Enter positive  "beta1"?');
beta2=input('Enter positive  "beta2"?');
lambda=input('Enter positive  "lambda"?');
eta1=input('Enter positive  "eta1"?');
eta2=input('Enter positive  "eta2"?');
P=input('Enter positive  "P"?');
%% Feasible Area
x = -1:P;m = 0; c = eta2; y = m * x + c;
plot(x, y, 'black')
y = -1:P; m = 0; c = eta1; y = m * x + c;
plot(y, x, 'black')

eta1=min (eta1,P);  eta2=min (eta2,P);
if eta1+eta2<P
    X=[0 0 eta1  eta1];     Y=[0 eta2 eta2 0];
    fill(X,Y,[0.85 0.85 0.85]);
else
X=[0 0 P-eta2 eta1 eta1]; Y=[0 eta2 eta2 P-eta1 0];
fill(X,Y,[0.85 0.85 0.85]); axis([-1 P -1 P])
end

X=[0 0]; Y=[0 P];
line(X,Y,'Color','black')
hold on
line(Y,X,'Color','black')

g = @(x,y) x+y-P;
gp =fimplicit(g,[0 P 0 P], 'black')

f = @(x,y) log((1+alpha1*x./(1+alpha2*y))) -lambda*log((1+beta1*x./(1+beta2*y)));
fp =fimplicit(f,[-1 P -1 P], '-')
hold on
grid on

For alpha1=1 , alpha2=0.2, beta1=1,beta2=2, lambda=2, eta1=3,eta2=4, P=2

Many Thanks in advance

[Jan]

Please remember, that all questions are urgent for the asking persons. Therefore it is polite not to claim, that a question is more urgent than others.

If the answer is important for you, care for asking a clear and unique question. What does "find intersections in this plot without mouse(Using code)" exactly mean? What kind of "intersection" is meant and how would you determine it with the mouse?

[Hossein Alishahi]

Firstly , If you read my request carefully, I have not claimed that my question is more unrgent than others. Secondly, you can run ginput function and then select your desired coordinate from lines by using mouse.

Thanks,

[Jan]

Some members of this forum react allergic to the term "urgent", see e.g. https://www.mathworks.com/matlabcentral/answers/29922-why-your-question-is-not-urgent-or-an-emergency .

You are drawing some objects. I cannot guess between which of these obejcts you want to locate the interection. The more the readers have to guess, the longer takes it to answer.