17N.1.SL.TZ0.T_2

pestleMathematicsAISLPaper 117N· sl-2-1-equations-of-straight-lines-parallel-and-perpendicularsource ↗

The coordinates of point A are $(6,{\text{ }} - 7)$ and the coordinates of point B are $( - 6,{\text{ }}2)$ . Point M is the midpoint of AB.

${L_1}$ is the line through A and B.

The line ${L_2}$ is perpendicular to ${L_1}$ and passes through M.

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

Markscheme / solution

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

Examiners’ report

[N/A]