Foundation November 2020 Paper 1R Q22
22 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. \(a = (-3 + 47) \div 2\) (= 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