| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2024 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Intersection of two lines |
| Difficulty | Easy -1.2 This is a straightforward coordinate geometry question testing basic skills: finding a line equation from two points, solving simultaneous equations for intersection, finding x-intercepts, calculating triangle area, and finding an angle. All parts are routine textbook exercises with no problem-solving insight required. The multi-part structure adds length but not conceptual difficulty. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
\begin{enumerate}[label=(\alph*)]
\item The line $L_1$ passes through the points $A(-3, 0)$ and $B(1, 4)$. Determine the equation of $L_1$. [3]
\item The line $L_2$ has equation $y = 3x - 3$.
\begin{enumerate}[label=(\roman*)]
\item Given that $L_1$ and $L_2$ intersect at the point C, find the coordinates of C.
\item The line $L_2$ crosses the $x$-axis at the point D. Show that the coordinates of D are $(1, 0)$. [4]
\end{enumerate}
\item Calculate the area of triangle $ACD$. [2]
\item Determine the angle $ACD$. [2]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 1 2024 Q7 [11]}}