how to find intersection data between 2 function

hi guys can u help me to find the data which is intersection between 2 line ?

this is my graph :

i have data for the blue-line graph. so that i have data for points A,B,C.

The red line is an extended linear line from point A to B.

The yellow line is an vertical line when X = C

How do i get the intersection data between red-line and yellow-line ? the code formula.

Answer 1

[Sam Chak]

Hi @Arif

The red line represents the extrapolation up to the vertical line . The main concept here is to determine the equation of line and subsequently calculate the y-coordinate of the intersection point.

A   = [0,       0];     % point A
B   = [0.05, -150];     % point B
C   =  0.125;           % vertical line, x = C

figure(1)
plot([A(1), B(1)], [A(2), B(2)]), hold on
xline(C, '--'), grid on
xlabel x, ylabel y

%% Find the line equation between A and B
f   = fit([A(1), B(1)]', [A(2), B(2)]', 'poly1')

f = 
     Linear model Poly1:
     f(x) = p1*x + p2
     Coefficients:
       p1 =       -3000
       p2 =          -0

%% Intersection coordinate
xi  = C;                % x-coordinate of the intersection
yi  = f.p1*xi + f.p2    % y-coordinate of the intersection

yi = -375

fprintf('The coordinate of the intersection is (%.4f, %.4f).', xi, yi);

The coordinate of the intersection is (0.1250, -375.0000).

figure(2)
xr  = B(1):0.001:C;
yr  = f.p1*xr + f.p2;
plot([A(1), B(1)], [A(2), B(2)], 'LineWidth', 2), hold on
plot(xr, yr, 'LineWidth', 2)
plot(A(1), A(2), 'o', 'LineWidth', 2, 'MarkerSize', 12)
plot(xi, yi, 'o', 'LineWidth', 2, 'MarkerSize', 12)
plot(B(1), B(2), 'o', 'LineWidth', 2, 'MarkerSize', 12), hold off
xline(C, '-', {'x = 0.125'}, 'color', '#123456'), grid on
xlabel x, ylabel y, xlim([0, 0.3])

Answer 2

[Hassaan]

@Arif A rough idea:

% Assuming you have the following coordinates
% A(xA, yA), B(xB, yB), and the x-coordinate of C (xC)

xA = % (your data for xA)
yA = % (your data for yA)
xB = % (your data for xB)
yB = % (your data for yB)
xC = % (your data for xC)

% Calculate the slope of the line AB (red line)
m = (yB - yA) / (xB - xA);

% Calculate the y-coordinate of the intersection point with the yellow line
yIntersect = m * (xC - xA) + yA;

% Display the intersection point
fprintf('The intersection occurs at (x, y) = (%.2f, %.2f)\n', xC, yIntersect);

Note:

• May need adjustment as per your requirement

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[Walter Roberson]

@Arif comments

THANK YOU. It helps so much