4MA0 Higher June 2014 Paper 3 Q8

EdexcelHigherOld spec5 marksLinear Graphs & Gradients Linear Inequalities

(a) On the grid, draw the line with equation \(x + 2y = 8\) for values of \(x\) from 0 to 9

Blank grid with x from 0 to 10 and y from -4 to 4

(2)

(b) Show, by shading on the grid, the region defined by all three inequalities
\(x + 2y \leqslant 8\)
\(x \geqslant 2\)
\(y \geqslant 1\)
Label your region R. (3)

Mark scheme (a)

Scheme	Marks
Correct line drawn	B2
	(2)

Notes

B2: Must be a single straight line passing through at least 3 of (0,4) (2,3) (4,2) (6,1) (8,0) (10,-1)
If not B2 then B1 for a single straight line with a negative gradient passing through either (0,4 ) or (8,0)
or at least 3 of (0,4) (2,3) (4,2) (6,1) (8,0) (10,-1) plotted or calculated