1. Graph paper๏
Some simple graph papers are below with some explanations of the code.
The document class used for a cropped picture is standalone.
1.1. 10 by 10 graph with ticks every 2๏
The 10 by 10 graph, with axes labelled is below.
The LaTeX for the graph is below.
\documentclass[border = 3mm]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% grid black help lines default colour is black!40
\draw[help lines, step = 0.5cm] (-5, -5) grid (5, 5);
% axis with end labels
\draw[thick, <->] (0, -5.15) -- (0, 5.15) node[above] {$y$};
\draw[thick, <->] (-5.15, 0) -- (5.15, 0) node[right] {$x$};
% numbers along each axis .
\foreach \x in {-10,-8,...,-2,2,4,...,10}
\draw [thick] (\x cm/2,3pt) -- (\x cm/2,-3pt) node[anchor=north] {\fontsize{8}{11}\selectfont$\x$};
\foreach \y in {-10,-8,...,-2,2,4,...,10}
\draw [thick] (3pt,\y cm/2) -- (-3pt,\y cm/2) node[anchor=east] {\fontsize{8}{11}
\selectfont$\y$};
\end{tikzpicture}
\end{document}
1.1.1. Document class๏
The command
\documentclass[border = 3mm]{standalone} is used to create a standalone document that shrinks the page to just contain the contents with a 3mm border around it.1.1.2. Help lines๏
The command
\draw[help lines, step = 0.5cm] (-5, -5) grid (5, 5) is used to draw a grid of horizontal and vertical lines that are spaced 0.5cm apart.The help lines option specifies that the lines should be thin and gray.
The
step = 0.5cm option specifies the distance between the lines.The coordinates
(-5, -5) and (5, 5) specify the lower-left and upper-right corners of the grid.1.1.3. Axes๏
The command
\draw[thick, <->] (0, -5.15) -- (0, 5.15) node[above] {$y$} is used to draw a vertical line that extends from -5.1 to 5.1 on the y-axis.The thick option specifies that the line should be drawn with a thick stroke.
The
<-> option specifies that arrowheads should be added to both ends of the line.The
(0, -5.15) and (0, 5.15) specify the starting and ending points of the line.The
node[above] {$y$} adds a label โyโ above the line.The for loops draw ticks at every 2 units from -10 to 10.
The command
\foreach \x in {-10,-8,...,-2,2,4,...,10} is used to iterate over the list of numbers from -10 to 10 with a step of 2.The command
\draw [thick] (\x cm/2,3pt) -- (\x cm/2,-3pt) is used to draw a thick line at each tick mark from 3pt above to -3pt below the number line.Since the number line goes from -10 to +10 over 10 cm,
\x cm/2 is required to position the ticks correctly.The command
node[anchor=north] {\fontsize{8}{11}\selectfont$\x$} is used to label each tick mark with its corresponding number.