4400 Higher November 2007 Paper 4 Q18
18
(a) The equation of a line L is \(x + 2y = 6\)
Find the gradient of L. (3)
Find the gradient of L. (3)
(b) Write down the equation of the line which is parallel to L and which passes through the point (0, 5). (1)
| Scheme | Marks |
|---|---|
| \(2y = 6 - x\) | M1 |
| \(y = 3 - \dfrac{x}{2}\) or \(y = \dfrac{6 - x}{2}\) | M1 |
| −½ | A1 |
| (3) |
Notes
M1: for \(2y = 6 - x\) or for stating coordinates of 2 points on line
M1: for correct rearrangement of equation with \(y\) as subject or for attempt to find gradient of line joining two stated points
A1: for −½ oe
dep only on first M1
SC if M0, award B1 for correct ft from incorrect rearrangement
| Scheme | Marks |
|---|---|
| \(y = -\frac{1}{2}x + 5\) oe | B1 |
| (1) | |
| (4 marks) |
Notes
B1: correct answer or ft from (a)
Equivalent equations include \(x + 2y = 10\)