| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Parallel line through point |
| Difficulty | Easy -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. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
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]}}