(a) Complete the table of values for \(2x + y = 4\)
\(x\)
−1
2
4
\(y\)
(2)
(b) On the grid, draw the graph of \(2x + y = 4\) for values of \(x\) from −1 to 4(2)
(c) Show, by shading on the grid, the region which satisfies all three of the inequalities \[x \geqslant -1, \quad y \geqslant 2 \quad \text{and} \quad 2x + y \leqslant 4\] Label the region R. (2)
Mark scheme (a)
Scheme
Marks
6, 0, −4
B2
(2)
Notes
B2: Award B1 for any one correct.
Mark scheme (b)
Scheme
Marks
(−1, 6), (2, 0), (4, −4)
M1ft
correct line
A1
(2)
Notes
M1ft: Plot any two points, from table with no ft errors, (dependent on at least B1 above).
A1: Straight line joining (−1, 6) to (4, −4)
Mark scheme (c)
Scheme
Marks
M1
A1
(2)
(Total 6 marks)
Notes
M1: Draw lines \(x = -1\) and \(y = 2\)
A1: Correct region identified (R need not be labelled). Accept shaded or unshaded.
