% !TEX TS-program = pdflatex
%Typeset/Build program
\documentclass[preview=true,multi,crop=false,tikz]{standalone}
%% 5.3 Macros and environments
\standaloneconfig{border=10}
\standaloneenv{minipage,tikzpicture}
%% hatch line between, shaded line bounded between
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usetikzlibrary{decorations.markings}
\tikzset{
region2/.style={
postaction={decorate},
decoration={
markings,
mark=between positions 0 and 1 step 0.75mm with { %
% note that the values are in axis units
\draw [solid,thin] (axis direction cs:0,#1*0.1) -- (axis direction cs:0,#1*1);
}
},
/pgfplots/forget plot
},
region/.default=1
}
\begin{document}
\begin{minipage}[t]{0.55\linewidth}
$\displaystyle\begin{cases}
ax + 4y \\
x + y = 12 \\
x + 2y = 16 \\
\end{cases}$
\end{minipage}
\begin{tikzpicture} %% 2
\begin{axis}[ %
axis x line=center, axis y line=center,
width=4in, height=4in,
x axis line style={<->},
y axis line style={<->},
xmin=-1, xmax=16,
ymin=0, ymax=12,
every axis plot/.append style={
very thick,
cyan!50!black,
domain=-10:16,
samples=2, % all you need for straight lines
} %, nodes near coords
]
\addplot [solid,black] {12 - x};
\addplot [black]{8 - 0.5*x};
% path/hatch/parallel segments to be decorated between two intersection lines
\addplot [region2] coordinates{(0,12)(8,4)(16,0)};
\addplot [dashed,black] coordinates {(0,4)(8,4)};
\addplot [dashed,black] coordinates {(8,0)(8,4)};
\end{axis}
\end{tikzpicture} %% end 2
\end{document}
2. Compile or build
3. Output similar like below
Notes
- To see the more clear screenshot, click on the picture.
- Maybe you need a little bit high computer requirement to learn from above lesson list.
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