4MA0 Higher January 2013 Paper 3 Q10
10 The points (0, −1) and (4, 5) lie on the straight line L.
(a) Work out the gradient of L. (2)
(b) Write down an equation of L. (1)
(c) Find an equation of the line which is parallel to L and passes through the point (− 2, 0) (2)
| Scheme | Marks |
|---|---|
| Correct \(v \div h\) | M1 |
| 1.5 oe | A1 |
| (2) |
Notes
M1: e.g. 6 ÷ 4
A1: accept improper fractions (e.g 3/2)
N.B. \(1.5x\) = M1A0
| Scheme | Marks |
|---|---|
| \(y = \text{“}1.5\text{”}x - 1\) oe | B1 ft |
| (1) |
Notes
B1 ft: from (a)
| Scheme | Marks |
|---|---|
| \(y = \text{“}1.5\text{”}x + c\) oe or \(\text{“}1.5\text{”}x + 3\) or \(0 = -2 \times\) gradient from (a) \(+ c\) | M1ft |
| \(y = \text{“}1.5\text{”}x + \text{“}c\text{”}\) oe | A1ft |
| (2) |
Notes
M1ft: from (a) \(c \neq -1\) (\(c\) must be a numeric value)
(substituting \(y = 0\) and \(x = -2\) into \(y = mx + c\))
A1ft: “c” = follow through using numeric value of gradient in (a)