| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Equation of line through two points |
| Difficulty | Moderate -0.8 This is a straightforward two-part question requiring standard techniques: finding gradient and equation of a line through two points, then verifying a midpoint satisfies a given equation. Both parts are routine calculations with no problem-solving or insight required, making it easier than average but not trivial due to the two-step verification component. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=0 |
Find, in the form $y = mx + c$, the equation of the line passing through A$(3, 7)$ and B$(5, -1)$.
Show that the midpoint of AB lies on the line $x + 2y = 10$. [5]
\hfill \mbox{\textit{OCR MEI C1 Q8 [5]}}