TikZ-PGF – How to Draw a Simple Cartesian Plane with Straight Lines

Question

How to generate the above plot with pgfplots?

I have an example code here:

\documentclass{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines=middle,axis equal,grid=both]
\addplot coordinates{(-3,1) (6,-2)};
\end{axis}
\end{tikzpicture}
\end{document}

which will generate a figure as shown below:

I don't want grid lines to be drawn full.

Only small xticks and yticks are needed.

Don't want dots to be placed at the ends of line.

Answer 1

It can be easily done with pstricks:

    \documentclass[svgnames, pstricks, border=10pt]{standalone}
    \usepackage{pst-plot, pst-node}

    \begin{document}

    \begin{pspicture*}(-0.5,-1.5)(6,6.5)
    \psset{showorigin=false, arrowinset=0.12, linejoin=1, labelsep=1pt}
    \everypsbox{\scriptsize}
    \psaxes[labelFontSize=\scriptstyle, tickstyle=full, ticksize=2pt -2pt, Dx=1, labels=none, linecolor=LightSteelBlue]{->}(0,0)(-0.5,-1.5)(5.5, 6)[$x$,0][$y$,90]
    \pnodes(-0.5,-1.5){A} (5,4){B}(-0.5,3.5){C}(4,-1){D}
    \ncline[linecolor=Tomato]{A}{B}\naput[nrot=:U, npos=0.8]{$ x-y=1 $}
    \ncline[linecolor=LawnGreen]{C}{D}\naput[nrot=:U, npos=0.3]{$ x+y=3 $}
    \dotnode(2,1){I}\uput{4pt}[r](I){$P(2,1)$}
    \end{pspicture*}

    \end{document}