4MA0 Higher January 2017 Paper 3R Q15
15 Line A has equation \(\;3x - 4y = 5\)
Line B goes through the points (4, 7) and (–1, 3)
Are lines A and B parallel?
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| \(-4y = 5 - 3x\) | M1 |
| \(y = 0.75x\;(+ c)\) or gradient of A = 0.75 oe | M1 |
| gradient of B = \(\dfrac{3 - 7}{-1 - 4}\left(= \dfrac{4}{5}\right)\) oe | M1 |
| No with correct figures | A1 |
| (4) | |
| (4 marks) |
Notes
M1: isolates term in \(y\)
M1: or \(y = 0.8x\;(+ c)\) oe
A1: eg. No gradient of A = 0.75 but gradient of B = 0.8 oe