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Drawing graphs

Important features of linear graphs

Key features of graphs include:

  • \(x\) and \(y\)-intercepts — where the graph crosses each axis.
  • Slope or gradient (especially important for linear/straight line graphs).

\[ \mbox{gradient} = \frac{\mbox{change is height (\(\Delta y\))}}{\mbox{change in width (\(\Delta x\))}} \] 

For example: 

Gradient

\begin{eqnarray*}
\mbox{gradient} &=& \frac{1.5}{3} \\
&=& 0.5 
\end{eqnarray*}

  • The \(y\)-intercept is at \( (0,0.5) \).
  • The \(x\)-intercept is at \( (-1,0) \).