O-LevelMathematicsCoordinate geometry4024/21 · Oct/Nov 2019 · Q108 Marks
Points P and Q and the line L are shown on the grid. [Figure 10 Grid with points P, Q and line L]
- (a)Calculate the length of PQ.[2]
- (b)Show that the equation of line L is 3y + x = 1.[3]
- (c)Line M is perpendicular to line L and passes through point P. Find the equation of line M. Give your answer in the form y = mx + c.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [2] 10.6[3...] M1 for (3--4)²+(5--3)² oe
- [3] Gradient = -1/3 oe M1 Substitutes pair of values into y = their (-1/3) x + c to find c y = -1/3x + 1/3 oe rearranged to 3y + x = 1 AG A1
- [3] [y =] 3x + 9 B1 for gradient = 3 soi M1 for substituting (-4, -3) into y = their 3x + c
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