Find the coordinates of M.

Find the gradient of ${L_1}$.

Write down the gradient of ${L_2}$.

Write down, in the form $y = mx + c$, the equation of ${L_2}$.

$(0,{\text{ }}2.5)$$\,\,\,$OR$\,\,\,$$\left( {0,{\text{ }} - \frac{5}{2}} \right)$     (A1)(A1)     (C2)

Note:     Award (A1) for 0 and (A1) for –2.5 written as a coordinate pair. Award at most (A1)(A0) if brackets are missing. Accept “$x = 0$ and $y =  - 2.5$”.

[2 marks]

$\frac{{2 - ( - 7)}}{{ - 6 - 6}}$     (M1)

Note:     Award (M1) for correct substitution into gradient formula.

$=  - \frac{3}{4}{\text{ }}( - 0.75)$     (A1)     (C2)

[2 marks]

$\frac{4}{3}{\text{ }}(1.33333 \ldots )$     (A1)(ft)     (C1)

Note:     Award (A0) for $\frac{1}{{0.75}}$. Follow through from part (b).

[1 mark]

$y = \frac{4}{3}x - \frac{5}{2}{\text{ }}(y = 1.33 \ldots x - 2.5)$     (A1)(ft)     (C1)

Note:     Follow through from parts (c)(i) and (a). Award (A0) if final answer is not written in the form $y = mx + c$.

[1 mark]