Foundation June 2022 Paper 2 Q10
10 Lines \(AB\) and \(BC\) are shown.
(a) Write down the coordinates of \(C\). [1 mark]
(b) Write down the coordinates of the midpoint of \(AB\). [1 mark]
(c) \(D\) is the point on the grid that makes \(ABCD\) a parallelogram.
Work out the coordinates of \(D\). [1 mark]
(d) Write down the equation of the line passing through \(A\) and \(B\). [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| (8, 1) | B1 | accept \((\overset{x}{8},\ \overset{y}{1})\) |
Additional guidance
| \((8x, 1y)\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| (7, 6) | B1 | accept \((\overset{x}{7},\ \overset{y}{6})\) |
Additional guidance
| \((7x, 6y)\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| (2, 1) | B1 | accept \((\overset{x}{2},\ \overset{y}{1})\) |
Additional guidance
| \((2x, 1y)\) | B0 |
| If two or more parts have \((x, y)\) as \((y, x)\) then give the first 0 and condone the other(s) eg1 (a) (1, 8) (b) (6, 7) (c) (1, 2) eg2 (a) (1, 8) (b) (7, 6) (c) (1, 2) eg3 (a) (1, 8) (b) (6, 10) (c) (1, 2) eg4 (a) (8, 1) (b) (6, 7) (c) (1, 2) | B0 B1 B1 B0 B1 B1 B0 B0 B1 B1 B0 B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(y = 6\) or \(6 = y\) | B1 | accept \(y = 0x + 6\) |
Additional guidance
| \(y = x + 6\) | B0 |
| \(x = 6\) | B0 |
| 6 | B0 |