4400 Higher November 2010 Paper 4 Q12

EdexcelHigherOld spec5 marksLinear Graphs & Gradients

12 The line L cuts the \(y\)-axis at (0, 5).
L also passes through the point (2, 1).

(a) Find the equation of the line L. (3)

(b) Find the equation of the line which is parallel to L and which passes through the point (3, 0). (2)

Mark scheme (a)

Scheme	Marks
\(-\dfrac{5 - 1}{2}\) oe	M1
\(m = -2\)	A1
\(y = -2x + 5\) oe	B1
	(3)

Notes

M1: for clear attempt to use \(\dfrac{\text{vert difference}}{\text{horiz difference}}\)

A1: for \(m = -2\)

B1: ft from their \(m\)
SC If M0A0, award B1 for \(y = mx + 5\)

SC If M0A0, award B2 for linear expression in which the coefficient of \(x\) is −2 or for L = linear expression in which the coefficient of \(x\) is −2 oe inc L + 2\(x\) = \(k\)

Scheme	Marks
\(y = \text{“}{-2}\text{”}x + c\)	M1
\(y = -2x + 6\) oe	A1
	(2)
	(5 marks)