A-LevelMathematicsCoordinate geometry9709/12 · Oct/Nov 2019 · Q24 Marks
The point M is the mid-point of the line joining the points (3, 7) and (−1, 1). Find the equation of the line through M which is parallel to the line x/3 + y/2 = 1.
- The point M is the mid-point of the line joining the points (3, 7) and (−1, 1). Find the equation of the line through M which is parallel to the line x/3 + y/2 = 1.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [M1] Attempt to find the midpoint M
- [A1] (1, 4)
- [M1] Use a gradient of -2/3 and their M to find the equation of the line.
- [A1] Equation is y - 4 = -2/3(x - 1) AEF
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