(a) On the grid, draw the straight line with equation
(i) \(y = 2\)
(ii) \(x = 6\)
(iii) \(y = x + 1\)
Label each line with its equation.(3)
(b) Show, by shading on the grid, the region that satisfies all three of the inequalities
\[y \geqslant 2 \qquad\qquad x \leqslant 6 \qquad\qquad y \leqslant x + 1\]
Label the region R(1)
Mark scheme (a)
Scheme
Marks
(a)(i) Answer: \(y = 2\) drawn
B1
(ii) Answer: \(x = 6\) drawn
B1
(iii) Answer: \(y = x + 1\) drawn
B1
(3)
Notes
Lines (can be solid, dotted or dashed) must be at least 2 cm long and need not be labelled
Mark scheme (b)
Scheme
Marks
B1ft
(1)
(4 marks)
Notes
B1ft: Correct region indicated ft dep on at least B2 scored in (a) and a vertical line, a horizontal line and a diagonal line with a positive gradient
SCB1 for \(y = x + 1\), \(y = 6\) and \(x = 2\) and area shaded as shown below
