4MA0 Higher June 2017 Paper 4R Q12
12 The straight line L is shown on the grid.
(a) Find an equation of L. (2)
(b) Find an equation of the line that is parallel to L and passes through the point (5, 4) (2)
| Scheme | Marks |
|---|---|
| M1 | |
| \(y = \dfrac{1}{2}x - 1\) oe | A1 |
| (2) |
Notes
M1: For (\(y =\)) \(\dfrac{3}{6}x + c\) (\(c\) may be any number or letter) or
For (\(y =\)) \(mx - 1\) where \(m\) is non-zero or for
Gradient = \(\dfrac{3}{6}\) oe or \(m = \dfrac{3}{6}\) oe clearly stated
A1: For a fully a correct equation for L
Eg
\(y = \dfrac{3}{6}x - 1\) or \(2y = x - 2\) or
\(y - 1 = \dfrac{1}{2}(x - 4)\) or
\(y - -2 = \dfrac{1}{2}(x - -2)\)
M1A0 for \(L = \dfrac{1}{2}x - 1\) or \(\dfrac{1}{2}x - 1\)
| Scheme | Marks |
|---|---|
| \(4 = \text{“}\dfrac{1}{2}\text{”} \times 5 + c\) or \(y - 4 = \text{“}\dfrac{1}{2}\text{”}(x - 5)\) | M1ft |
| \(y = \dfrac{1}{2}x + 1\dfrac{1}{2}\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1ft: For correct substitution of given coordinate into their equation
Follow through their gradient in (a)
A1: oe
Eg \(y = \dfrac{1}{2}(x + 3)\)
SCB1 for (\(l =\)) \(\dfrac{1}{2}x + 1\dfrac{1}{2}\)