MATLAB: Plotting multiple straight lines using random number loop

Question

Hi,

I'm trying to plot several lines of different gradient from the same point on a graph. The gradient is determined by the angle phi, which has a mean angle of 45 degrees and a standard deviation of 3.

Considering the equation of a straight line y=mx+c, c is determined by the gradient and coordinate the line passes through.

I am having a problem with getting multiple plots and I'm not sure why. Currently the plot is only a single line.

My code is:

n=100;
x0=3;
y0=4;
x=linspace(0,20,n);
for i=1:n;
  phi(i)=45+3*randn;
  m(i)=tand(phi(i));
  c(i)= y0-m(i)*x0;
end
y=m(i)*x+c(i);
plot(x,y)

Can someone please help me find a solution for this problem?

Thanks.

Answer 1

I guess this is what you want..

n=100;
x0=3;
y0=4;
x=linspace(0,20,n);
y=[];
for i=1:n;
  phi(i)=45+3*randn;
  m(i)=tand(phi(i));
  c(i)= y0-m(i)*x0;
y(i,:)=m(i)*x+c(i);
plot(x,y(i,:))
hold on
end