Graph Function of Linear Equations in Two Variables Using Latex

1. Type this following latex code in the latex editor:

% !TEX TS-program=pdflatex

% !TEX encoding=UTF-8 Unicode

%

%% File name: GraphLinearEquation2Variables1.tex

%% Document Definitions:

%% LINEAR SYSTEM FUNCTIONS GRAPH With 2 VARIABLES

%%-----------------------------------

%\usepackage{tgbonum}

%\usepackage{arevmath}

\documentclass[tikz,border=5pt]{standalone}

\usepackage{libertine}

\usepackage{tikz}

\usepackage{pgfplots}

%\pgfplotsset{compat=newest}

\pgfplotsset{compat=1.18}

\pgfplotsset{%

    axis line origin/.style args={#1,#2}{

        x filter/.append code={ % Check for empty or filtered out numbers

            \ifx\pgfmathresult\empty\else\pgfmathparse{\pgfmathresult-#1}\fi

        },

        y filter/.append code={

            \ifx\pgfmathresult\empty\else\pgfmathparse{\pgfmathresult-#2}\fi

        },

        xticklabel=\pgfmathparse{\tick+#1}\pgfmathprintnumber{\pgfmathresult},

        yticklabel=\pgfmathparse{\tick+#2}\pgfmathprintnumber{\pgfmathresult}

    }

}

\makeatletter \newcommand{\pgfplotsdrawaxis}{\pgfplots@draw@axis} \makeatother

\pgfplotsset{

    every tick/.append style={color=black},

    after end axis/.append code={

        \pgfplotsset{

            axis line style=opaque,

            ticklabel style=opaque,

            tick style=opaque,

            grid=none

        }

        \pgfplotsdrawaxis

    },

} % applies to major and minor ticks,

\pgfplotsset{axis line on top/.style={

  axis line style=opaque,

  ticklabel style=transparent,

  tick style=opaque,

  axis on top=true,

  after end axis/.append code={

    \pgfplotsset{axis line style=opaque,

      ticklabel style=transparent,

      tick style=opaque,

      color=white,

      grid=true}

    \pgfplotsdrawaxis}

  }

} %% applies to axis line on top

\boldmath

\begin{document}

%% Graph Function of Linear Equations in Two Variables

%%Title

\begin{tikzpicture}

\node (0,0) {\textbf{Graphing of System}};

\node[below] at (0,-0.12) {\textbf{of}};

\node[below] at (0,-0.45) {\textbf{Linear Equations}};

\node[below] at (0,-0.80) {\textbf{with}};

\node[below] at (0,-1.15) {\textbf{Two Variables}};

\end{tikzpicture}

\begin{tikzpicture}[scale=1]

        \begin{axis}[x=1cm,y=1cm,

        latex-latex,

            axis lines = middle,

            xlabel = {$x$},

            ylabel = {$y$},

            %xtick = \empty,

            xtick style={-},

            %ytick = \empty,

            ytick style ={-},

            xmin=-5, xmax=4.5,

            ymin=-3.1, ymax=6.5,small, axis on top, grid=none, minor grid style={very thin,gray!30}, major grid style={very thin,gray!30},

            xticklabel style={fill=white!5,-},

            yticklabel style={fill=white!5,-}, extra y ticks={2}, extra y tick style={fill=white,-}]         

            % Plot 3

\addplot [

domain=-1:5,

samples=1000,

black,very thick,-

]

 coordinates{(-5,0)(-4,0.5)(-3,1)(-2,1.5)(-1,2)(0,2.5)(1,3)} 

            node [pos=1, right, black, sloped] {\bfseries $x-2y=-5$};

            \addplot[

            domain=-4:0,

            black,

            very thick,

            -]

            coordinates{

            (-5,-8)(-4,-4)(-3,-2)(-2,0)(-1,2)(0,4)(1,6)

            }

            node[pos=1, right, black]{\bfseries $2x-y=-4$};

            

            \addplot[black,dashed,-]

            coordinates{(-1,-3)(-1,2)} node[blue]{\Huge{}\textbullet};

            

            \addplot[black,dashed,-]

            coordinates{(-1,2)(3.5,2)};

        \end{axis}

    \end{tikzpicture}

\end{document}

2. Save file as GraphLinearEquation2Variables1.tex

3. Then build or typeset the Latex code.

Output

Bibliography

https://byjus.com/

https://bccampus.ca/ ( university )

https://www.cuemath.com/

https://www.nku.edu/ ( university )