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How can I make a fuction that takes two points and returns the coefficients a, b

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How can I make a fuction that takes two points p1 and p2 in 2D plane as input parameters
and returns the coefficients a, b of a linear function f(x) = a*x + b that crosses these points. The points are defined as vectors of two
values: pi =[xi, yi], but without using any ToolBoxes and cycles?
function [a,b] = linfunc(P1, P2)
  1 Comment
David
David on 9 Dec 2022
Edited: Voss on 9 Dec 2022
Hi! This seems like a homework. Anyways, there are some hints:
> You can always get the slope of a line using m = (f(b) - f(a)) / (b - a). Once you get it, your function is almost done!
Good luck <3

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Answers (2)

John D'Errico
John D'Errico on 9 Dec 2022
Surely this is homework. So I hope people do not do your homework for you. At the same time, it is easy to find the formulas online, for example here:

Image Analyst
Image Analyst on 10 Dec 2022
See attached polyfit demo and make the obvious modifications to it to solve your problem.
In the meantime, see polyfit.
This looks like a homework problem. If you have any questions ask your instructor or read the link below to get started:
Obviously we can't give you the full solution because you're not allowed to turn in our code as your own.

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