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 coordinate geometry question requiring only two standard steps: identify the gradient from the given line (m = -3/2) and use y - y₁ = m(x - x₁) with the given point. It's routine practice with no problem-solving element, making it easier than average but not trivial since it requires rearranging the original equation.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships

2 A line has equation \(3 x + 2 y = 6\). Find the equation of the line parallel to this which passes through the point \(( 2,10 )\).

Question 2:
M1 for \(3x + 2y = c\) or \(y = -1.5x + c\)
M1 for substitution of \((2, 10)\) to find \(c\) or for \(y - 10 = \text{their gradient} \times (x - 2)\)
A1 for \(3x + 2y = 26\) or \(y = -1.5x + 13\) (isw)
Question 2:

M1 for $3x + 2y = c$ or $y = -1.5x + c$

M1 for substitution of $(2, 10)$ to find $c$ or for $y - 10 = \text{their gradient} \times (x - 2)$

A1 for $3x + 2y = 26$ or $y = -1.5x + 13$ (isw)
2 A line has equation $3 x + 2 y = 6$. Find the equation of the line parallel to this which passes through the point $( 2,10 )$.

\hfill \mbox{\textit{OCR MEI C1  Q2 [3]}}