Foundation June 2017 Paper 2 Q23
23.
(a) 
Draw the graph of \(y = 2x + 5\) for values of \(x\) from \(-2\) to \(+3\).
Use the graph paper below. [3]
(b)
Are the lines \(y = 3x - 5\) and \(y = 3x + 1\) parallel?
You must give a reason for your answer. [1]
| Scheme | Marks | Comments | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Appropriate uniform scale on vertical axis | B1 | |||||||||||||||
| At least 2 correct points calculated Markers may find these useful:
| B1 | Or use of \(y = mx + c\) with line starting from (0,5) with gradient 2 | ||||||||||||||
| Fully correct graph of \(y = 2x + 5\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Yes, the gradients are the same (3) | E1 | Accept e.g. Yes, because ‘same slope’ Accept Yes, because \(m = 3\) or ‘both \(3x\)’. |
| (4) |