4400 Higher June 2008 Paper 4 Q14
14 A line L passes through the points (0, 1) and (4, 3).

(a)
(i) Find the gradient of the line L.
(ii) Find the equation of the line L.
(4)(b) 
Write down the three inequalities which define the unshaded region. (3)

| Scheme | Marks |
|---|---|
| (i) vert diff/horiz diff for any 2 points on L | M1 |
| 0.5 oe | A1 |
| (ii) \(y =\) “0.5”\(x\) + constant | M1f |
| \(y =\) “0.5”\(x + 1\) oe | A1f |
| (4) |
Notes
A1f: SC “0.5”\(x + 1\) or \(L =\) “0.5”\(x + 1\) B1
| Scheme | Marks |
|---|---|
| \(x \leqslant 4\) | B1 |
| \(y \geqslant -1\) | B1 |
| \(y \leqslant 0.5x + 1\) oe | B1 |
| (3) | |
| (7 marks) |
Notes
B1: Allow \(\lt\)
B1: Allow \(\gt\)
B1: Allow \(\lt\)
SC All inequalities wrong way round B1