| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/2 (Pre-U Mathematics Paper 2) |
| Year | 2017 |
| Session | June |
| Marks | 4 |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Equation of line through two points |
| Difficulty | Easy -1.8 This is a straightforward coordinate geometry question requiring only the basic two-point form or gradient formula, followed by simple verification by substitution. It's purely procedural with no problem-solving element, making it significantly easier than average A-level questions. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=0 |
**Question 1: Equation of line through (2,5) and (8,-1)**
- $m = \frac{-6}{6} = -1$ **M1** Attempt gradient
- $y - 5 = -(x - 2)$ **M1** Attempt equation of line
- $y + x = 7$ **A1** Obtain correct equation aef but must be simplified to three terms
- $9 + -2 = 7$ **A1** Justify that $(-2, 9)$ is on line
**Total: 4 marks**1 Find the equation of the line which passes through the points $( 2,5 )$ and $( 8 , - 1 )$. Show that this line also passes through the point $( - 2,9 )$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/2 2017 Q1 [4]}}