Foundation June 2019 Paper 3 Q24
24 The graph shows two parallel lines, Line A and Line B.
Not to scale
Line A has equation \(y = 6x + 7\).
Line B passes through the point (4, 26).
Find the equation of Line B. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = 6x + 2\) oe final answer | 4 | B3 for \(6x + 2\) final answer or \(y = 6x + 2\) oe but spoiled to final answer OR B2 for \(y = 6x + k\) oe \(0 \lt k \lt 7\) or for \(y = mx + 2\), \(m \gt 0\) and \(m \ne 6\) or B1 for gradient or \(m = 6\) stated or for \(y = 6x\) or for [\(y =\)] \(6x + k\) \(k \ne 0\) or 7 oe or for \(mx + 2\), \(m \gt 0\) and \(m \ne 6\) B0 for \(y = 6x + 7\) (as given) | Accept \(y - 26 = 6(x - 4)\) as equivalent Do not allow other letters for \(x\) Alternative methods M1 for \(6 \times 4 + 7\) soi 31 M1 for their 31 – 26 soi 5 M1 for 7 - their 5 OR M1 for [\(\pm\)]\(6 \times 4\) soi 24 or \(-24\) M1 for 26 – their 24 soi 2 M1 for \(6x +\) their 2 |