4400 Higher June 2007 Paper 4 Q10
10
(a) 
(b) Write down the equation of a line parallel to the line whose equation is \(y = -2x + 5\) (1)
(c) Write down the coordinates of the point of intersection of the two lines whose equations are \(y = 3x - 4\) and \(y = -2x - 4\) (1)
| Scheme | Marks |
|---|---|
| V/H in any correct triangle attempted | M1 |
| Grad = 2, may be embedded or implied | A1 |
| \(y = \text{‘}2\text{’}x + 1\) | B2ft |
| (4) |
Notes
M1: eg \(\dfrac{3 - 1}{1 - 0}\) not \(\dfrac{3}{1}\)
B2ft: B1ft for grad. B1 for \(y\)-int (lin eqn) or B1ft for just ‘2’\(x\) + 1
No wking, ans \(2x + 1\): M1A1 B1
| Scheme | Marks |
|---|---|
| \(y = -2x \pm c\) | B1 |
| (1) |
Notes
B1: \(y = -2x \pm\) any no. (not 5) or letter or \(y = -2x\)
| Scheme | Marks |
|---|---|
| (0, −4) | B1 |
| (1) | |
| (6 marks) |