4MA0 Higher January 2015 Paper 3 Q10

EdexcelHigherOld spec4 marksLinear Graphs & Gradients

(a) Find the gradient of the line with equation \(3y - 2x = 6\) (2)

(b) Find an equation of the line with gradient –3 that passes through the point (2, 5). (2)

Mark scheme (a)

Scheme	Marks
\(y = \dfrac{2x + 6}{3}\) or \(y = \dfrac{2}{3}x + 2\) e.g. \(\dfrac{4 - 2}{3 - 0}\)	M1
\(\dfrac{2}{3}\)	A1
	(2)

Notes

M1: For a correct equation with y the subject or \(\dfrac{\text{diff of } y \text{ values}}{\text{diff of } x \text{ values}}\) for any two correct points on the line.

Allow 0.666(66666....) rounded or truncated to at least 3SF instead of \(\dfrac{2}{3}\)

A1: Allow M1A1 if \(\dfrac{2}{3}\) follows an equation with an incorrect constant.

Eg \(y = \frac{2}{3}x + 3\) followed by an answer of \(\dfrac{2}{3}\)

M1A0 for \(\frac{2}{3}x + 2\) or \(\frac{2}{3}x\)

Allow 0.666(66666....) rounded or truncated to at least 3SF instead of \(\dfrac{2}{3}\)

Scheme	Marks
\(5 = -3 \times 2 + c\) or \(c = 5 + 3 \times 2\)	M1
\(y = -3x + 11\)	A1
	(2)
	(4 marks)