| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Intersection of two lines |
| Difficulty | Moderate -0.8 This is a straightforward C1 coordinate geometry question testing standard techniques: finding line equations from point and gradient, perpendicular gradients, and solving simultaneous equations. All parts are routine textbook exercises requiring only direct application of formulas with no problem-solving insight needed, making it easier than average but not trivial due to the multi-step nature. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
The straight line $l_1$ has gradient 2 and passes through the point with coordinates $(4, -5)$.
\begin{enumerate}[label=(\roman*)]
\item Find an equation for $l_1$ in the form $y = mx + c$. [2]
\end{enumerate}
The straight line $l_2$ is perpendicular to the line with equation $3x - y = 4$ and passes through the point with coordinates $(3, 0)$.
\begin{enumerate}[label=(\roman*)]
\setcounter{enumi}{1}
\item Find an equation for $l_2$. [3]
\item Find the coordinates of the point where $l_1$ and $l_2$ intersect. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR C1 Q4 [8]}}