| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/2 (Pre-U Mathematics Paper 2) |
| Year | 2016 |
| Session | Specimen |
| Marks | 5 |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Equation of line through two points |
| Difficulty | Easy -1.2 This is a straightforward two-part question on basic coordinate geometry. Part (i) requires finding the gradient using two points and then the equation using y = mx + c, which is routine GCSE/early A-level material. Part (ii) involves checking if gradients multiply to -1, a standard perpendicular lines test. Both parts are direct application of well-practiced formulas with no problem-solving or insight required. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
(i) Attempt to find gradient [M1]
Get gradient $-\frac{1}{4}$ [A1]
Find $c$ to be 3 $\left(y = -\frac{1}{4}x + 3\right)$ [A1]
(ii) $-\frac{1}{4} \times -4 = 1$ [B1]
No, gradients multiplied together $\neq -1$ [B1]3 (i) The points $A$ and $B$ have coordinates ( $- 4,4$ ) and ( 8,1 ) respectively. Find the equation of the line $A B$. Give your answer in the form $y = m x + c$.\\
(ii) Determine, with a reason, whether the line $y = 7 - 4 x$ is perpendicular to the line $A B$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/2 2016 Q3 [5]}}