Higher November 2020 Paper 1R Q6
6 Point \(A\) has coordinates (–3, 11)
Point \(B\) has coordinates (47, \(b\))
The midpoint of \(AB\) has coordinates (\(a\), –19)
Find the value of \(a\) and the value of \(b\).
(2)
| Scheme | Marks |
|---|---|
e.g. \(a\) = (−3 + 47) ÷ 2 (= 22) or \(\dfrac{11 + b}{2} = -19\;\;(b = -38 - 11 = -49)\) or method to add 25 to −3 or method to subtract 25 from 47 or method to subtract 30 from −19 or method to subtract 60 from 11 | M1 |
| \(a = 22,\;\; b = -49\) | A1 |
| (2) | |
| (2 marks) |
Notes
M1: for a correct method to find either coordinate or one coordinate correct.
Look for correct method on their diagram, if used.
A1: both correct