1MA0 Higher June 2016 Paper 1 Q10
10
Diagram NOT accurately drawn
Point \(P\) has coordinates (5, 7).
Point \(M\) has coordinates (1, 2.5).
Point \(M\) is the midpoint of the line \(PQ\).
Find the coordinates of point \(Q\). (2)
| Answer | Mark | Notes |
|---|---|---|
| \(-3\), \(-2\) | 2 | M1 for \(x = -3\) or \(y = -2\); for finding the difference between the \(x\) or \(y\) coordinates of \(M\) and \(P\) (eg \(\pm 4\) or \(\pm 4.5\)); for \(\dfrac{x + 5}{2} = 1\) or for \(\dfrac{y + 7}{2} = 2.5\) A1 for \(x = -3\), \(y = -2\) |