| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Perpendicular line through point |
| Difficulty | Easy -1.3 This is a straightforward C1 coordinate geometry question requiring only basic substitution to verify a point lies on a line, then finding a perpendicular line using the negative reciprocal gradient rule. Both parts are routine textbook exercises with no problem-solving insight needed, 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 |
The line $L$ has equation $y = 5 - 2x$.
\begin{enumerate}[label=(\alph*)]
\item Show that the point $P(3, -1)$ lies on $L$. [1]
\item Find an equation of the line perpendicular to $L$, which passes through $P$. Give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q3 [5]}}