OCR MEI C1 — Question 1 2 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeEquation of line through two points
DifficultyEasy -1.2 This is a straightforward application of finding gradient from two points followed by using y - y₁ = m(x - x₁). It's a standard textbook exercise requiring only routine recall of the two-point formula with simple arithmetic, making it easier than average for A-level.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=0
1 Find the equation of the line which passes through \(( 1,3 )\) and ( 4,9 ).
Question 1:
AnswerMarks Guidance
\(\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \Rightarrow \frac{y-3}{9-3}=\frac{x-1}{4-1}\)M1 Any method will do
\(\Rightarrow \frac{1}{6}(y-3)=\frac{1}{3}(x-1) \Rightarrow y=2x+1\)A1 Total: 2 
## Question 1:
$\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \Rightarrow \frac{y-3}{9-3}=\frac{x-1}{4-1}$ | M1 | Any method will do
$\Rightarrow \frac{1}{6}(y-3)=\frac{1}{3}(x-1) \Rightarrow y=2x+1$ | A1 | **Total: 2**

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1 Find the equation of the line which passes through $( 1,3 )$ and ( 4,9 ).

\hfill \mbox{\textit{OCR MEI C1  Q1 [2]}}
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