OCR MEI C1 — Question 2 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeLine intersections with axes
DifficultyEasy -1.2 This is a straightforward C1 question testing basic coordinate geometry. Finding axis intercepts requires simple substitution (set x=0, then y=0), and finding the gradient involves rearranging to y=mx+c form or using -A/B from the general form. Both are routine procedures with no problem-solving required, making this easier than average.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=0

  1. Find the points of intersection of the line \(2x + 3y = 12\) with the axes. [2]
  2. Find also the gradient of this line. [2]

Question 2:
AnswerMarks
2(i) (0, 4) and (6, 0)
(ii) −4/6 o.e. or ft their (i) isw2
21 each; allow x = 0, y = 4 etc; condone
x = 6, y = 4 isw but 0 for (6, 4) with no
working
1 for −4 x or 4/−6 or 4/6 o.e. or ft
6
(accept 0.67 or better)
0 for just rearranging to y =−2 x+4
AnswerMarks
34
Question 2:
2 | (i) (0, 4) and (6, 0)
(ii) −4/6 o.e. or ft their (i) isw | 2
2 | 1 each; allow x = 0, y = 4 etc; condone
x = 6, y = 4 isw but 0 for (6, 4) with no
working
1 for −4 x or 4/−6 or 4/6 o.e. or ft
6
(accept 0.67 or better)
0 for just rearranging to y =−2 x+4
3 | 4
\begin{enumerate}[label=(\roman*)]
\item Find the points of intersection of the line $2x + 3y = 12$ with the axes. [2]
\item Find also the gradient of this line. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q2 [4]}}