Find
(i)     the gradient of \({L_1}\) ;
(ii)    the equation of \({L_1}\) .

Find the area of the shaded triangle.

(i)     \(\frac{{0 - 2}}{{6 - 0}}\)     (M1)
\( =  - \frac{1}{3}{\text{ }}\left( { - \frac{2}{6}{\text{, }} - 0.333} \right)\)     (A1)     (C2)

(ii)    \(y =  - \frac{1}{3}x + 2\)     (A1)(ft)     (C1)

Notes: Follow through from their gradient in part (a)(i). Accept equivalent forms for the equation of a line.

[3 marks]

\({\text{area}} = \frac{{6 \times 1.5}}{2}\)     (A1)(M1)

Note: Award (A1) for \(1.5\) seen, (M1) for use of triangle formula with \(6\) seen.

\( = 4.5\)     (A1)     (C3)

[2 marks]

In this question, many candidates did not use the \(x\) and \(y\) intercepts to find the slope and attempted to read ordered pairs from the graph.

Part b proved difficult for many candidates, often using trigonometry rather than the more straight forward area of the triangle.