Step 1: Preparing the diagrams
Compile the diagram.tex with
latex diagram.tex
dvips diagram.dvi
ps2pdf -dAutoRotatePages=/None diagram.ps
to get diagram.pdf consisting of 2 pages.
% diagram.tex
\documentclass[pstricks,border=12pt,12pt]{standalone}
\usepackage{pst-node,pst-plot}
\usepackage{amsmath}
\begin{document}
\begin{pspicture}(-3,-3)(3,3)
\psaxes[ticks=none,labels=none]{->}(0,0)(-3,-3)(3,3)[$x$,-90][$y$,180]
\uput[-135](0,0){$0$}
\rput[bl](1.5,1.5){\rnode[b]{b}{\rnode[bl]{bl}{$xy=0$}}}
\psset{nodesep=1pt,arrows=->}
\pcline(bl)(0,1)
\pcline(b)(1,0)
\end{pspicture}
\begin{pspicture}(-3,-3)(3,3)
\psaxes[ticks=none,labels=none]{->}(0,0)(-3,-3)(3,3)[$x$,-90][$y$,180]
\psplot{-3}{3}{1.5}
\psplot{-3}{3}{-1.5}
\uput[-135](0,1.5){$1$}
\uput[-135](0,0){$0$}
\uput[-135](0,-1.5){$-1$}
\rput(1.5,.75){$\lvert y\rvert=1$}
\end{pspicture}
\end{document}


Step 2: Importing the diagrams
Compile main.tex with
pdflatex main.tex
to obtain main.pdf.
% main.tex
\documentclass{article}
\usepackage[a4paper,margin=25mm]{geometry}
\usepackage{multicol}
\columnsep=2cm
\usepackage{amsmath}
\usepackage{enumitem}
\setlist[enumerate,1]{itemsep=12pt,label=\textbf{\arabic*.},start=9}
\usepackage{graphicx}
\begin{document}
\begin{enumerate}
\begin{multicols}{2}
% 1
\item $xy=0\Leftrightarrow x=0 \text{ or } y=0$. The graph consists of the coordinate axes
\begin{center}
\includegraphics[page=1]{diagram}
\end{center}
% 2
\item $\lvert y\rvert =1 \Leftrightarrow y=1 \text{ or } y=-1$
\begin{center}
\includegraphics[page=2]{diagram}
\end{center}
\end{multicols}
% 3
\item By the point-slope form of the equation of a line, an equation of the line through $(2,-3)$ with slope $6$ is
$y-(-3)=6(x-2) \text{ or } y=6x-15$.
% 4
\item $y-(-5)=-\frac{7}{2}[x-(-3)] \text{ or } y=-\frac{7}{2}x-\frac{31}{2}$
% 5
\item The slope of the line passing through $(2,2)$ and $(1,6)$ is $m=\dfrac{6-1}{1-2}=-5$, so an equation of the line is
$y-1=-5(x-2) \text{ or } y=-5x+11$.
% 6
\item For $(-1,-2)$ and $(4,3)$, $m=\dfrac{3-(-2)}{4-(-1)}=1$. An equation of the line is $y-3=1(x-4) \text{ or } y=x-1$.
\end{enumerate}
\end{document}
