| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/2 (Pre-U Mathematics Paper 2) |
| Year | 2019 |
| 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 requiring basic coordinate geometry skills: finding the gradient from two points, writing the line equation, then checking perpendicularity by comparing gradients. Both parts are routine textbook exercises with no problem-solving or insight required, making it easier than average. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
**(a)**
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** [3]
**(b)**
$-\frac{1}{4} \times -4 = 1$ — **B1**
No, gradients multiplied together $\neq -1$ — **B1** [2]3
\begin{enumerate}[label=(\alph*)]
\item 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 $y = m x + c$.
\item Determine, with a reason, whether the line $y = 7 - 4 x$ is perpendicular to the line $A B$.
\end{enumerate}
\hfill \mbox{\textit{Pre-U Pre-U 9794/2 2019 Q3 [5]}}