4MA0 Higher January 2014 Paper 4R Q8

EdexcelHigherOld spec6 marksLinear Graphs & Gradients Linear Inequalities

(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)

Grid with x from -2 to 5 and y from -6 to 8

(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 \(\mathbf{R}\). (2)

Scheme	Marks
6, 0, −4	B2
	(2)

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 B1).

A1: Straight line joining (−1, 6) to (4, −4) or better.