4400 Higher November 2008 Paper 3 Q10
10 The point \(A\) has coordinates (5, 13) and the point \(B\) has coordinates (−1, 1).
(a) Work out the coordinates of the midpoint of \(AB\). (2)
The point \(C\) has coordinates (0, 7).
The line L passes through \(C\) and is parallel to the line \(AB\).
(b) Find an equation of the line L. (4)
| Scheme | Marks |
|---|---|
| (2, 7) | B2 |
| (2) |
Notes
B2: B1 for 2 B1 for 7
| Scheme | Marks |
|---|---|
| eg \(\dfrac{13 - 1}{5 - (-1)}\) or \(\dfrac{12}{6}\) or \(\dfrac{6}{3}\) | M1 |
| 2 | A1 |
| \(y = 2x + 7\) or \(y = \text{“}2\text{”}x + 7\) | B2 |
| (4) | |
| (6 marks) |
Notes
M1: for clear attempt to use \(\dfrac{\text{vertical difference}}{\text{horizontal difference}}\)
B2: for \(y = 2x + 7\) or \(y = \text{“}2\text{”}x + 7\)
B1 for \(y = 2x + c\) or for \(y = \text{“}2\text{”}x + c\) where \(c \ne 7\) or for \(2x + 7\), “2”\(x + 7\), \(L = 2x + 7\), \(L =\) “2”\(x + 7\) etc
ft from their “2” only if it supported by working such as a fraction or numbers indicated on a diagram, even though it may not have gained M1
SC If no other marks scored, award B1 for \(y = mx + 7\) for any \(m\) inc \(m = 1\)