O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2023 · Q37 Marks
3 The points A and B have coordinates (2,5) and (10, -15) respectively. The point P lies on the perpendicular bisector of the line AB. The y-coordinate of P is −9.
- (a)Find the x-coordinate of P.[5]
- (b)The point R is the reflection of P in the line AB. Find the coordinates of R.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- B1 Mid-point (6, -5)
- B1 Gradient of AB = -5/2
- M1 For their perp gradient
- Dep M1 for attempt at the equation of the perpendicular bisector with their mid-point and their perpendicular gradient and use of y = -9
- A1 x = -4
- B1 for each, FT on 12 – their a for the x-coordinate.
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