Moderate -0.8 This is a straightforward C1 coordinate geometry question requiring basic skills: rearranging to y=mx+c form, plotting lines using intercepts, and solving simultaneous linear equations. All techniques are routine with no problem-solving insight needed, making it easier than average but not trivial due to the multi-step nature and exact fraction requirement.
The straight line \(l_1\) has the equation \(3x - y = 0\).
The straight line \(l_2\) has the equation \(x + 2y - 4 = 0\).
\begin{enumerate}[label=(\roman*)]
\item Sketch \(l_1\) and \(l_2\) on the same diagram, showing the coordinates of any points where each line meets the coordinate axes. [4]
\item Find, as exact fractions, the coordinates of the point where \(l_1\) and \(l_2\) intersect. [3]
The straight line $l_1$ has the equation $3x - y = 0$.
The straight line $l_2$ has the equation $x + 2y - 4 = 0$.
\begin{enumerate}[label=(\roman*)]
\item Sketch $l_1$ and $l_2$ on the same diagram, showing the coordinates of any points where each line meets the coordinate axes. [4]
\item Find, as exact fractions, the coordinates of the point where $l_1$ and $l_2$ intersect. [3]
</enumerate}
\hfill \mbox{\textit{OCR C1 Q5 [7]}}