(b) This graph shows part of another straight line.
(i) Find the gradient of this line. [2]
(ii) This line is continued to the right.
Will the line pass through the point (200, 102)? Show how you decide. [3]
Mark scheme (a)
Answer
Marks
Part marks and guidance
[\(y =\)] 3 or (0, 3)
1
Condone missing brackets
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) \(\dfrac{1}{2}\) or 0.5
2
M1 for suitable triangle on line with height and base marked with correct length or equivalent fraction to \(\dfrac{1}{2}\) or 2 right, up 1 oe or B1 for answer \(\dfrac{x}{2}\) only
(4 right, up 2 etc.)
Accept \(\dfrac{1}{2}x\) or \(0.5x\)
(ii) No with fully correct supporting evidence
3
M2 for 200 \(\times\) 0.5 + 1 oe
or
B1 for 200, 100 or 101
Working must be shown for M2 For M2 accept 200 right up 100 [so] 100 + 1 or \(\dfrac{101}{200} \ne \dfrac{1}{2}\) or \(0.505 \ne 0.5\) For B1 accept 200 right up 100 or \(\dfrac{101}{200}\) or 0.505 or \(\dfrac{100}{200}\) seen
