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.