1MA0 Higher November 2013 Paper 2 Q25
*25 A and B are straight lines.
Line A has equation \(2y = 3x + 8\)
Line B goes through the points \((-1, 2)\) and (2, 8)
Do lines A and B intersect?
You must show all your working. (3)
| Answer | Mark | Notes |
|---|---|---|
| Yes with explanation | 3 | M1 For Line A: writes equation as \(y = 1.5x + 4\) or gives the gradient as 1.5 or constant term of 4 OR for Line B: shows a method which could lead to finding the gradient or gives the gradient as 2 or constant term of 4 or calculates a sequence of points including (0,4) or writes equation of line as \(y = 2x + 4\) M1 Shows correct aspects relating to an aspect of Line A and an aspect of Line B that enables some comparison to be made eg gradients, equations or points. C1 for gradients 1.5 and 2 and Yes with explanation that the gradients are different or states the lines intersect at (0,4) or explanation that interprets common constant term (4) from equations OR M1 for a diagram that shows both lines drawn and intersecting at (0,4) M1 for a diagram that shows both lines and their intersection point identified as (0,4) C1 for Yes and states the intersection point as (0,4) |