1MA0 Higher June 2015 Paper 2 Q12
12 The points \(A\), \(B\) and \(C\) lie in order on a straight line.
The coordinates of \(A\) are (2, 5)
The coordinates of \(B\) are \((4, p)\)
The coordinates of \(C\) are \((q, 17)\)
Given that \(AC = 4AB\), find the values of \(p\) and \(q\). (3)
| Answer | Mark | Notes |
|---|---|---|
| \(p = 8\), \(q = 10\) | 3 | M1 for finding the difference between the \(x\) or \(y\) coordinates eg \(4 - 2\) (= 2) or \(17 - 5\) (= 12) M1 for a complete method to find the value of \(p\) or the value of \(q\) A1 cao |