4400 Higher November 2006 Paper 3 Q12

EdexcelHigherOld spec7 marksLinear Graphs & Gradients

Grid with x and y from −5 to 5; point P at (0, −4) and point Q at (4, 4)

(a) \(P\) and \(Q\) are points with coordinates \((0, -4)\) and \((4, 4)\).
Find the equation of the straight line which passes through \(P\) and \(Q\). (4)

(b) On the grid, draw the line with equation \(y = -\frac{1}{2}x + 1\) (3)

Mark scheme (a)

Scheme	Marks
Attempt to find \(\dfrac{\text{vert}}{\text{horiz}}\) for line \(PQ\)	M1
(gradient =) 2	A1
\(y = 2x - 4\)	B2
	(4)

Notes

A1: (\(y =\)) \(2x \Rightarrow\) M1A1

B2: ft from “2” B1 for \(2x - 4\)
B1 for \(y = mx - 4\) where \(m \ne 2\)

Scheme	Marks
Line through (0, 1)	M1
Attempts grad −½ or correctly finds coordinates of another point	M1
Correct line	A1
	(3)
	(7 marks)