Foundation January 2020 Paper 1 Q14
14 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 \(\mathbf{L}\) has equation \(\;y = 2 - 3x\)
(b) Write down the gradient of line \(\mathbf{L}\). (1)
Line \(\mathbf{L}\) has equation \(\;y = 2 - 3x\)
(c) Does the point with coordinates \((100, -302)\) lie on line \(\mathbf{L}\)?
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: Accept \(\left(9, -\dfrac{3}{2}\right)\)
| 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…, −302) or \(\left(\dfrac{304}{3}, -302\right)\) or (3 × 100) – 302 = −2 not (+)2