OCR MEI C1 — Question 8 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) requiring students to use y - y₁ = m(x - x₁) or y = mx + c with m = 3. It's a single-step problem testing basic understanding of gradient and line equations with no problem-solving required, making it easier than average.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships
8 Find the equation of the line which is parallel to \(y = 3 x + 1\) and which passes through the point with coordinates \(( 4,5 )\).
Question 8:
AnswerMarks Guidance
\(y = 3x + c\) or \(y - y_1 = 3(x - x_1)\)M1 Allow M1 for 3 clearly stated/used as gradient of required line
\(y - 5 = \text{their } m(x - 4)\)M1 Or \((4, 5)\) substituted in their \(y = mx + c\); allow M1 for \(y - 5 = m(x-4)\)
\(y = 3x - 7\) or simplified equivalentA1 Condone \(y = 3x + c\) and \(c = -7\); or B3 www 
## Question 8:

| $y = 3x + c$ or $y - y_1 = 3(x - x_1)$ | M1 | Allow M1 for 3 clearly stated/used as gradient of required line | |

| $y - 5 = \text{their } m(x - 4)$ | M1 | Or $(4, 5)$ substituted in their $y = mx + c$; allow M1 for $y - 5 = m(x-4)$ | |

| $y = 3x - 7$ or simplified equivalent | A1 | Condone $y = 3x + c$ and $c = -7$; or **B3** www | |
8 Find the equation of the line which is parallel to $y = 3 x + 1$ and which passes through the point with coordinates $( 4,5 )$.

\hfill \mbox{\textit{OCR MEI C1  Q8 [3]}}
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Q1 11 Q2 2 Q3 3 Q4 3 Q5 5 Q6 13 Q7 10 Q8 3