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enter image description here

I wish to graph this image. I am kind of new on LaTex and tikz, and can't really get my way round this. I hope someone comes to my aid.

  • Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document. – Martin Schröder Mar 19 '17 at 0:19
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enter image description here

\documentclass[border=2pt]{standalone}
\usepackage{amssymb}
\usepackage{tikz}
\newcommand\set[1]{\{#1\}}
\begin{document}
\begin{tikzpicture}[>=stealth]
  \draw[->] % x axis
    (-2,0) -- (3,0) node[right]{$\mathbb{R}\times\set{0}$};
  \draw[->] % y axis
    (0,-1) -- (0,3) node[above]{$\set{0}\times\mathbb{R}$};
  \draw % ticks
    (1,-0.1) node[below]{$(1,0)$} -- +(0,0.2) % relative coordinate, added to (1,-0.1)
    (-0.1,1) node[left]{$i=(0,1)$} -- + (0.2,0);  relative coordinate, added to (-0.1,1)
  \draw[dashed] % dashed lines 
    (2.5,0) node[below]{$(x,0)$} --
    (2.5,2.5) node{$\bullet$} node[above right]{$(x,y)$} --
    (0,2.5) node[left]{$(0,y)$};
\end{tikzpicture}
\end{document}

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