4MA0 Higher January 2014 Paper 4R Q13
13
(a) The straight line \(L\) passes through the points (0, 12) and (10, 4).
Find an equation for \(L\). (3)
Find an equation for \(L\). (3)
(b) Find an equation of the straight line which is parallel to \(L\) and passes through the point (5, −11). (2)
| Scheme | Marks |
|---|---|
| (Gradient =) \(\dfrac{12 - 4}{0 - 10}\) or \(\dfrac{8}{-10}\) oe | M1 |
| \(y = -0.8x + 12\) oe | B2 |
| (3) |
Notes
B2: \(5y + 4x = 60\) oe
If not B2 then
B1 for \(y = -0.8x + \text{“}c\text{”}\) where c = numerical value \(\ne 12\) or letter
or \(5y + 4x = \text{“}c\text{”}\) where c = numerical value \(\ne 12\) or letter
or \(-0.8x + 12\) or \(5y + 4x\)
| Scheme | Marks |
|---|---|
| \(-11 = \text{“}\dfrac{8}{-10}\text{”} \times 5 + c\) | M1ft |
| \(y = -0.8x - 7\) oe | A1 |
| (2) | |
| (5 marks) |
Notes
M1ft: Correct substitution into (a) also “\(5y + 4x\)” = c
or identify \(y\) intercept = − 7
A1: \(5y + 4x = -35\)