4400 Higher June 2004 Paper 3 Q12
12
(a) Find the gradient of the line with equation \(3x - 4y = 15\) (3)
(b) Work out the coordinates of the point of intersection of the line with equation \(3x - 4y = 15\) and the line with equation \(5x + 6y = 6\) (4)
| Scheme | Marks |
|---|---|
| \(4y = 3x - 15\) | M1 |
| \(y = \frac{3}{4}x - \frac{15}{4}\) | M1 |
| \(\frac{3}{4}\) | A1 |
| (3) |
Notes
M1: for \(\dfrac{\text{"}3x - 15\text{"}}{4}\)
A1: ft from \(\dfrac{\text{"}3x - 15\text{"}}{4}\)
| Scheme | Marks |
|---|---|
| eg Eqn (A) × 3 or Eqn (B) × 2 or Eqn (A) × 5 or Eqn (B) × 3 | M1 |
| eg Eqn (A) × 3 + Eqn (B) × 2 or Eqn (A) × 5 − Eqn (B) × 3 | M1 |
| eg \(x = 3\) | A1 |
| \((3, -1\frac{1}{2})\) | A1 |
| (4) | |
| (7 marks) |
Notes
M1: for clear attempt at first step in correct process to eliminate either \(x\) or \(y\)
M1: Completes correct process to eliminate either \(x\) or \(y\) (Condone one error)
A1: cao for non-eliminated one
A1: cao