(a) On the grid, draw the graph of \(2x - 3y = 6\) from \(x = 0\) to \(x = 9\)(2)
(b) On the grid, show by shading the region which satisfies the inequalities \[3 \leqslant x \leqslant 6 \quad \text{and} \quad 2 \leqslant y \leqslant 4\] Label your region \(\mathbf{R}\).(3)
Mark scheme (a)
Scheme
Marks
Correct line
B2
(2)
Notes
B2: Must be a single straight line passing through at least 3 of (0, −2), (3, 0), (6, 2), (9, 4) B1 for a single straight line with a positive gradient passing through either (0, −2) or (3, 0) or for 3 of 4 points (0, −2), (3, 0), (6, 2), (9, 4) correct with at most 1 point incorrect Allow ± 2mm
Mark scheme (b)
Scheme
Marks
Lines \(x = 3\) and \(x = 6\) drawn
B1
Lines \(y = 2\) and \(y = 4\) drawn
B1
\(\mathbf{R}\) shown
B1
(3)
(5 marks)
Notes
B1: Condone omission of label. Accept shading in or shading out, if consistent. Award 3 marks for correct labelled rectangle, even if not shaded. Award 2 marks for a correct unshaded rectangle without a correct label. SC B1 for region bounded by \(2 \leqslant x \leqslant 4\) and \(3 \leqslant y \leqslant 6\)
