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% Packages
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\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{maxine3}
\pdfinfo{
  /Title (linear-relationships.pdf)
  /Creator (Cheatography)
  /Author (maxine3)
  /Subject (Linear Relationships Cheat Sheet)
}

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% This two commands together give roughly
% the right line height in the tables
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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Linear Relationships Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{maxine3} via \textcolor{DarkBackground}{\uline{cheatography.com/29360/cs/8614/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}maxine3 \\
  \uline{cheatography.com/maxine3} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 17th July, 2016.\\
   Updated 17th July, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Straight Line & y=mx+c \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Equation of parallel line OR Point of intersection & y-y\textasciicircum{}1\textasciicircum{}=m(x-x\textasciicircum{}1\textasciicircum{}) \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Midpoint & ({[}x\textasciicircum{}1\textasciicircum{}+x\textasciicircum{}2\textasciicircum{}/2{]},{[}y\textasciicircum{}1\textasciicircum{}+y\textasciicircum{}2\textasciicircum{}/2{]}) \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
Distance Formula & √(x\textasciicircum{}2\textasciicircum{}-x\textasciicircum{}1\textasciicircum{})\textasciicircum{}2\textasciicircum{}+(y\textasciicircum{}2\textasciicircum{}-y\textasciicircum{}1\textasciicircum{})\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Gradient of parallel line & m\textasciicircum{}1\textasciicircum{}=m\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 10 (+ 2)
% Row 5
\SetRowColor{white}
Gradient of perpendicular line & m\textasciicircum{}1\textasciicircum{}m\textasciicircum{}2\textasciicircum{}=-1 OR m\textasciicircum{}2\textasciicircum{}=-1/m\textasciicircum{}1\textasciicircum{} \& -m\textasciicircum{}2\textasciicircum{}=1/m\textasciicircum{}1\textasciicircum{} \tn 
% Row Count 13 (+ 3)
% Row 6
\SetRowColor{LightBackground}
Gradient & m=rise/run OR m=(y\textasciicircum{}2\textasciicircum{}-y\textasciicircum{}1\textasciicircum{})/(x\textasciicircum{}2\textasciicircum{}-x\textasciicircum{}1\textasciicircum{}) \tn 
% Row Count 15 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.92 cm} x{4.08 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Solving Stuff}}  \tn
% Row 0
\SetRowColor{LightBackground}
Finding a rule for a graph & For: (x\textasciicircum{}1\textasciicircum{},y\textasciicircum{}1\textasciicircum{}) \& (x\textasciicircum{}2\textasciicircum{},y\textasciicircum{}2\textasciicircum{}) \{\{fa-bolt\}\}Find gradient \{\{fa-bolt\}\}Sub into y-y\textasciicircum{}1\textasciicircum{}=m(x-x\textasciicircum{}1\textasciicircum{}) \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
Finding equation of parallel line & \{\{fa-bolt\}\}Arrange into y=mx+c \{\{fa-bolt\}\}Find values of x,y,m \{\{fa-bolt\}\}Sub into y-y=m(x-x) \{\{fa-bolt\}\}Solve \tn 
% Row Count 11 (+ 6)
% Row 2
\SetRowColor{LightBackground}
Finding equation of perpendicular line & \{\{fa-bolt\}\}Find negative reciprocal of m \{\{fa-bolt\}\}Substitute (x,y) into y=mx+c \{\{fa-bolt\}\}Solve for c \tn 
% Row Count 17 (+ 6)
% Row 3
\SetRowColor{white}
Finding point of intersection & \{\{fa-bolt\}\}Arrange one of the lines into y=mx+c or x= \{\{fa-bolt\}\}Sub this into the other line \{\{fa-bolt\}\}Solve for other coordinate \tn 
% Row Count 24 (+ 7)
% Row 4
\SetRowColor{LightBackground}
Shading Half Planes & \textgreater{}above \textless{}below \tn 
% Row Count 25 (+ 1)
% Row 5
\SetRowColor{white}
Horizontal Line & y=b \tn 
% Row Count 26 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Vertical Line & x=a \tn 
% Row Count 27 (+ 1)
% Row 7
\SetRowColor{white}
Forming Simultaneous Equations & \{\{fa-bolt\}\} Define unknowns using  pronumerals. \{\{fa-bolt\}\}Form two equations from the  information in the problem. \{\{fa-bolt\}\}Solve simultaneously. \{\{fa-bolt\}\}Answer the question in words. \tn 
% Row Count 37 (+ 10)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{3.92 cm} x{4.08 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Solving Stuff (cont)}}  \tn
% Row 8
\SetRowColor{LightBackground}
Solving Simultaneous & Solve two equations in two pronumerals using: \{\{fa-bolt\}\}substitution when one pronumeral  is the subject; e.g. y = x + 4. \{\{fa-bolt\}\}elimination when adding or subtracting  multiples of equations eliminates one  variable. \tn 
% Row Count 12 (+ 12)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{If asking for 'through (x,y) perpendicular to x=a, answer y=b  e.g perp. tp x=7 through (0,3) = y=3}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}