Foundation June 2018 Paper 2 Q15
15 The graph of \(\quad y = 4 - x \quad\) for values of \(x\) from \(-2\) to 5 \(\quad\) is shown on the grid.
(a) On the grid, draw the graph of \(\quad y = 2x - 5 \quad\) for values of \(x\) from \(-2\) to 5 [3 marks]
(b) Use your graph to solve \(\quad 2x - 5 = 4 - x\) [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Any two of \((-2, -9)\), \((-1, -7)\), \((0, -5)\), \((1, -3)\), \((2, -1)\), (3, 1), (4, 3), (5, 5) | M1 | gives at least two correct pairs of coordinates, may be in a table implied by points plotted \(\pm\dfrac{1}{2}\) small square |
| At least two correct points plotted or at least two of their points plotted correctly | M1dep | implied by correct line which does not have to extend from \(x = -2\) to \(x = 5\) \(\pm\dfrac{1}{2}\) small square |
| Correct line from \((-2, -9)\) to (5, 5) | A1 | \(\pm\dfrac{1}{2}\) small square ignore ends of line outside \([-2, 5]\) |
Additional guidance
Ignore extra points that are incorrect
| Answer | Mark | Comments |
|---|---|---|
| 3 | B1ft | correct or ft the intersection of their graph with the given graph \(\pm\dfrac{1}{2}\) small square |
Additional guidance
| Answer 3 with or without correct graph | B1 |
| Answer (3, 1) | B0 |
| Answer \((x =)\) 3, \(y = 1\) | B1 |
| If their graph intersects the given graph at more than one point they need to give the correct \(x\)-coordinate of each point of intersection | B1ft |