Resources for Graphing Linear Equations
-
Questions
12
With Worked SolutionClick Here -
Video Tutorials
1
Click Here
Graphing Linear Equations Theory
![\begin{multicols}{2} \textbf{Example 1}\\ From the table below, draw the graph of the line and state the equation of the line.\\ \begin{center} \begin{tabular}{|c|c|c|c|} \hline \(x\) & -1 & 0 & 1 \\ \hline \(y\) & 0 & 1 & 2 \\ \hline \end{tabular} \end{center} \hfill\linebreak \textbf{Example 1 solution}\\ \(y=mx+b\)\\ when \(x=0, \; y=1\)\\ \(\begin{aligned} \therefore 1 & =0+b \rightarrow b=1 \\ y & =m x+1 \end{aligned}\)\\ when \(x=1,\; y=2\)\\ \(\begin{aligned} \therefore 2 & =m+1 \\ \therefore m & =1 \\ \therefore y & =x+1 \end{aligned}\) \begin{center} \begin{tikzpicture}[scale=0.9] \def \xmax{3} \def \xmin{-3} \def \ymax{3} \def \ymin{-3} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis lines=middle, axis line style={shorten >=-10pt, shorten <=-10pt,very thick,Stealth-Stealth}, grid=both, %major, major grid style={line width=1pt,draw=black!70}, minor x tick num=4, minor y tick num=4, ylabel = $y$, xlabel = $x$, width=3in, height=3in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, axis on top=false, axis line style = thick, major tick style = thick, xtick distance = 1, xlabel style={at={(ticklabel* cs:1.05)},anchor=west}, x grid style={thin, opacity=0.5}, ytick distance = 1, ylabel style={at={(ticklabel* cs:1.05)},anchor=south}, y grid style={thin, opacity=0.5}, axis on top=false, xtick={-4,-3,-2,-1,0,1,2,...,4}, ytick={-4,-3,-2,-1,0,1,2,...,6}, nodes near coords style={ above right=3pt, inner sep=0, color=black, font=,}, ] \addplot[name path=a, ultra thick, latex-latex, samples=300, smooth, domain=-3:2, red] {\x+1} node [pos=0.9, left, red, font=\small] {}; \end{axis} \end{tikzpicture} \end{center} \columnbreak \textbf{Example 2}\\ From the table below, draw the graph of the line and state the equation of the line\\ \begin{center} \begin{tabular}{|l|l|l|l|} \hline \(x\) & -1 & 0 & 1 \\ \hline \(y\) & 5 & 3 & 1 \\ \hline \end{tabular} \end{center} \hfill \linebreak \textbf{Example 2 solution}\\ \(y=m x+b\)\\ when \(x=0, y=3\)\\ \(\begin{aligned} & 3=0+b \rightarrow b=3 \\ & y=m x+3 \end{aligned}\)\\ when \(x=1, y=1\)\\ \(\begin{aligned} \therefore 1 & =m+3 \\ m & =-2 \\ \therefore y & =-2 x+3 \end{aligned}\)\\ \begin{center} \begin{tikzpicture}[scale=0.9] \def \xmax{4} \def \xmin{-2} \def \ymax{5} \def \ymin{-2} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis lines=middle, axis line style={shorten >=-10pt, shorten <=-10pt,very thick,Stealth-Stealth}, grid=both, %major, major grid style={line width=1pt,draw=black!70}, minor x tick num=4, minor y tick num=4, ylabel = $y$, xlabel = $x$, width=3in, height=3in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, axis on top=false, axis line style = thick, major tick style = thick, xtick distance = 1, xlabel style={at={(ticklabel* cs:1.05)},anchor=west}, x grid style={thin, opacity=0.5}, ytick distance = 1, ylabel style={at={(ticklabel* cs:1.05)},anchor=south}, y grid style={thin, opacity=0.5}, axis on top=false, xtick={-4,-3,-2,-1,0,1,2,...,4}, ytick={-4,-3,-2,-1,0,1,2,...,6}, nodes near coords style={ above right=3pt, inner sep=0, color=black, font=,}, ] \addplot[name path=a, ultra thick, latex-latex, samples=300, smooth, domain=-1:2.5, red] {-2*\x+3} node [pos=0.9, left, red, font=\small] {}; \end{axis} \end{tikzpicture} \end{center} \end{multicols}](/media/2yobm5dy/9864.png)
NSW Y8 Maths Graphing Linear Equations Graphing Linear Equations
Videos
Videos relating to Graphing Linear Equations.
-
Graphing Linear Equations - Video - Graph a Linear Equation Using a Table of Values
You must be logged in to access this resource
Plans & Pricing
With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.
-
Teachers TutorsFeaturesFreeProAll ContentAll courses, all topicsQuestionsAnswersWorked SolutionsSystemYour own personal portalQuizbuilderClass ResultsStudent ResultsExam RevisionRevision by TopicPractise ExamsAnswersWorked SolutionsAwesome StudentsFeaturesFreeProContentAny course, any topicQuestionsAnswersWorked SolutionsSystemYour own personal portalBasic ResultsAnalyticsStudy RecommendationsExam RevisionRevision by TopicPractise ExamsAnswersWorked Solutions