4MA0 Higher June 2015 Paper 4R Q4

EdexcelHigherOld spec5 marksLinear Graphs & Gradients Linear Inequalities

(a) On the grid, draw the graph of \(y = 3x + 2\) for values of \(x\) from –2 to 3 (3)

Grid with x from -3 to 4 and y from -5 to 12

(b) Mark with a cross (×) a point on the grid that satisfies both the inequalities
\(x \gt 2\) and \(y \gt 3x + 2\)
Label this point \(P\). (2)

Mark scheme (a)

Scheme	Marks
(−2, −4), (−1, −1), (0, 2), (1, 5), (2, 8), (3, 11) Answer: correct line drawn from between \(x = -2\) and \(x = 3\)	B3
	(3)

Notes

B3: For a correct line between \(x = -2\) and \(x = 3\).
If not B3, then B2 for: at least 2 correct points plotted or for a line passing through at least 2 correct points or for a line drawn with positive gradient through (0, 2) and clear intention to use a gradient of 3 (eg. a line through and (0, 2) and (0.5, 5))
If not B2 then B1 for: at least 2 correct points stated (may be in a table) or for a line drawn with a positive gradient through # (0, 2) or for a line with gradient 3.

Mark scheme (b)

Scheme	Marks
	M1
correct point	A1
	(2)

Notes

M1: ft for a point marked above their \(y = 3x + 2\) if at least B1 scored in (a) or for a point to the right of \(x = 2\)

A1: Point marked above \(y = 3x + 2\) and to the right of \(x = 2\) (not on lines).
Label \(P\) may be omitted if unambiguous.
SCB1 for the correct region identified by either shading in or shading out.