4400 Higher June 2009 Paper 4 Q12
12 The straight line, L, passes through the points (0, 2) and (2, 3).
(a) Work out the gradient of L. (2)
(b) Find the equation of L. (2)
(c) Write down the equation of a line parallel to L. (1)
| Scheme | Marks |
|---|---|
| \(\frac{v}{h}\) in a correct \(\Delta\) | M1 |
| \(\frac{1}{2}\) oe | A1 |
| (2) |
Notes
A1: M1 A0 for \(\frac{1}{2}x\)
| Scheme | Marks |
|---|---|
| \(y = \text{“}\tfrac{1}{2}\text{”}x + 2\) oe | B2 |
| (2) |
Notes
B2: B1 for “\(\frac{1}{2}\)”\(x + 2\) or \(L =\) “\(\frac{1}{2}\)”\(x + 2\)
| Scheme | Marks |
|---|---|
| \(y = \text{“}\tfrac{1}{2}\text{”}x + c\) | B1 |
| (1) | |
| (5 marks) |
Notes
B1: \(c\) any number \(\ne 2\) or letter or \(y =\) “0.5”\(x\)
or a line parallel to their b)