# 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:

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