Find intersection points between lines

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Hello, I've plot 5 lines on the same graph with their edge coordinates. Now, I wish to find the intersection point coordinates (xi, yi) from any 2 intersecting lines specifically. Example: Intersection point between bottom slanting line and horizontal straight line.I used polyxpoly function, but it's not working...Is there any better way to do this?. Thank you.

%Bottom slanting line
x1=[1000,1];
y1=[1E-8, 1E-5];
loglog(x1,y1)
hold on
%Top slanting line
x2=[1,3000];
y2=[1E-3,3.5E-7];
loglog(x2,y2)
hold on
%First vertical straight line
x3=[1000, 1000];
y3=[1E-9, 1E-6];
loglog(x3,y3)
hold on
%Second vertical straight line
x4=[3000,3000];
y4=[3.5E-7,1E-9];
loglog(x4,y4)
hold on
%Horizontal straight line
x5=[1,5000];
y5=[3.98E-7,3.98E-7];
loglog(x5,y5)
%Find intersection point
[xi,yi]=polyxpoly(x1,y1,x5,y5)
mapshow(xi,yi,'DisplayType','point','Marker','o')