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: 



\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 \( (-1,0) \).