Foundation June 2022 Paper 2 Q20
20 The graph shows a parallelogram ABCD.
Not to scale
A has coordinates \((0, -6)\), B has coordinates \((3, 0)\) and C has coordinates \((9, 0)\).
Find the equation of the line that passes through the points C and D, giving your answer in the form \(y = mx + c\).
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = 2x - 18\) with correct working | 5 | ‘correct working’ requires evidence of at least M1M1 or M1A1 | |
| M1 for attempt at \(\dfrac{\text{change in } y}{\text{change in } x}\) A1 for ‘\(m\)’ = 2 | may be implied on the diagram or may be implied by \(-2\) M1A1 soi by [‘\(m\)’ =] 2 | ||
| M1 for \(0 = \textit{their}\) ‘\(m\)’ \(\times\, 9\, +\) ‘\(c\)’ or \(-6 = \textit{their}\) ‘\(m\)’ \(\times\, 6\, +\) ‘\(c\)’ or for \(\dfrac{9}{3} \times [\pm]6\) oe A1 for ‘\(c\)’ = \(-18\) If 0 scored, SC1 for implying the y intercept is \(-18\) with no or insufficient working, may be seen on the diagram or for D is \((6, -6)\) | Allow FT from D or their D stated may be implied on the diagram | ||