Higher January 2020 Paper 1 Q1
1 The point \(A\) has coordinates \((5, -4)\)
The point \(B\) has coordinates \((13, 1)\)
(a) Work out the coordinates of the midpoint of \(AB\). (2)
Line L has equation \(\;y = 2 - 3x\)
(b) Write down the gradient of line L. (1)
Line L has equation \(\;y = 2 - 3x\)
(c) Does the point with coordinates \((100, -302)\) lie on line L?
You must give a reason for your answer. (1)
You must give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| \(\dfrac{5 + 13}{2}\) or \(\dfrac{-4 + 1}{2}\) | M1 |
| \((9, -1.5)\) | A1 |
| (2) |
Notes
M1: for a correct method to find one coordinate or for one coordinate correct or for \((-1.5, 9)\)
A1: oe
| Scheme | Marks |
|---|---|
| −3 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| No with reason | B1 |
| (1) | |
| (4 marks) |
Notes
B1: No (oe) and e.g. line goes through \((100, -298)\) or \((101.3(3..), -302)\) or \(\left(\dfrac{304}{3}, -302\right)\) or \((3 \times 100) - 302 = -2\) not (+)2