How to create a fzero loop to find roots of a function file?

I'm going to simplify my equation to make it easier, however I have a .m function file, lets say:

if true
function Y=Y(x)
%variables
a=1;
y=2;
b=2;
c=3;
Y=a*x+b*y+c*xy;
end

I can use the command:

if true
  fzero(@Y,2)
end

to find the root of this equation. and it works, however my question is how to write a loop to solve this equation for varying values of y. so my .m function is now of two variables:

if true
function Y=Y(x,y)
%variables
a=1;
b=2;
c=3;
Y=a*x+b*y+c*xy;
end
end

I need to now write a loop to find the zero value of x, for many values of y. Here is what I have tried to do but cannot get it to work:

    if true
    for x=2;
    y=2:0.1:10;
    x = fzero(Y(w,r),4);
    end

I'm fairly new to matlab and have tried searching the forums for help but cannot find a solution. So you help will be greatly appreciated.

Kind Regards,

John.

Answer 1

[Amit]

for y= 2:0.1:10
   x = fzero(@(m) Y(m,y),4);
 end

[Amit]

if you wanna store the value of x on the way

y = 2:0.1:10;
x = zeros(1,numel(y));
for j = 1:numel(y)
  x(j) = fzero(@(m) Y(m,y(j)),4);
end

[John Doe]

Hi Amit,

Thank you very much for your reply this works.

[John Doe]

But I have one question, what does the m represent in this code? why m and not x?

[Amit]

@(m) Y(m,y) says that m is the variable. Its like saying if there is a difference in y = f(x) or y = f(m). It can be any variable name you like. I did not chose x, because x was used for data storage and didn't wanted to get confused.

[John Doe]

I see, thanks.

One final question that I just realized, do you know how to then save all these values? as each time it loops it overwrites the previous zero.