Mathematics · Oct / Nov 2023 · Paper 42 · Question 12
0580
As printed in the paper
The question as text
NOT TO SCALE A B O y x O is the origin (0, 0), A is the point (8, 1) and B is the point (2, 5).
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12(a)(i)[1]
2 5 [1]
12(a)(ii)[1]
− 6 4 [1]
12(b)[3]
2 19 = − + [ y ] x oe 3 3 [3]
M1 for gradient = 1 5 − oe − 8 2
M1 for substituting (8, 1) or (2, 5) into y = their mx + c
12(c)[4]
3 9 = − [ y ]2 x oe 2 [4]
B1 for (5, 3) oe 1 −their
M1 for gradient = AB gradient of M1 substituting their midpoint into y = their mx + c
12(d)[2]
65 6 oe [2]
M1 for their 19 9 3 – their − oe 2
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