OCR MEI C1 — Question 2 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeParallel line through point
DifficultyEasy -1.2 This is a straightforward application of the parallel lines property (same gradient) with point substitution into y = mx + c. Requires only recall that parallel lines have equal gradients and basic algebraic manipulation to find the y-intercept, making it easier than average with minimal problem-solving demand.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships
2 Find the equation of the straight line which is parallel to the line \(y = 3 x + 5\) and which goes through the point \(( 2,12 )\).
\(y = 3x + c\)
\(\Rightarrow 12 = 6 + c \Rightarrow c = 6\)
AnswerMarks
\(\Rightarrow y = 3x + 6\)M1, M1, A1 
$y = 3x + c$

$\Rightarrow 12 = 6 + c \Rightarrow c = 6$

$\Rightarrow y = 3x + 6$ | M1, M1, A1 |
2 Find the equation of the straight line which is parallel to the line $y = 3 x + 5$ and which goes through the point $( 2,12 )$.

\hfill \mbox{\textit{OCR MEI C1  Q2 [3]}}
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Q1 2 Q2 3 Q3 3 Q4 3 Q5 3 Q6 3 Q7 5 Q8 5 Q9 4 Q10 5 Q11 12 Q12 12 Q13 12