4MA0 Foundation June 2015 Paper 2R Q18

EdexcelFoundationOld spec7 marksDrawing & Using Graphs Linear Graphs & Gradients

(a) On the grid, draw the graph of

(i) \(x = 2\)

(ii) \(y = 3\)

(iii) \(y = 3x + 2\) for values of \(x\) from −2 to 3

Coordinate grid with x from -3 to 4 and y from -5 to 12

(5)

(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
(i) Answer: correct line	B1
(ii) Answer: correct line	B1
(iii) (−2, −4), (−1, −1), (0, 2), (1, 5), (2, 8), (3, 11) Answer: correct line drawn from between \(x = -2\) and \(x = 3\)	B3
	(5)

Notes

B1: Parallel to \(y\)-axis through \(x = 2\)
Lines must pass through at least two correct grid intersections.

B1: Parallel to \(x\)-axis through \(y = 3\)
Lines must pass through at least two correct grid intersections.

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 (e.g. a line through (0, 2) and (0.5, 3.5))
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)
	Total 7 marks

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.