Foundation June 2024 Paper 2 Q18

EdexcelFoundationCurrent spec4 marksLinear Graphs & Gradients Linear Inequalities

(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.

Coordinate grid with x from 0 to 8 and y from 0 to 8

(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
(i) Answer: \(y = 2\) drawn	B1
(ii) Answer: \(x = 6\) drawn	B1
(iii) Answer: \(y = x + 1\) drawn	B1
	(3)

Notes

B1: Lines (can be solid, dotted or dashed) must be at least 2 cm long and need not be labelled

Grid showing the lines x = 6, y = 2 and y = x + 1 with the triangular region R between them shaded — Mark scheme (b)

Special case: lines y = x + 1, y = 6 and x = 2 with the region to the right of x = 2, below y = 6 and below y = x + 1 shaded and labelled R — Mark scheme (b)

Scheme	Marks
	B1ft
	(1)
	(4 marks)