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7   The points P(–1, 3), Q(4, 5) and R(9, k) all lie on a straight line.

                         (a)  Find the value of k.









                                                                                                                [3]

                         (b)  Find the equation of the line.










                                                                                                                [3]
                         (c)  Show that point Q is the midpoint of line PR.










                                                                                                                [2]
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                                                                            y
                                                         P(–6, 3)



                                                                                 x




                                                                     Q(0, –5)

                         (a)  Find the equation of line PQ.










                                                                                                                [3]
                         (b)  Find the length of line PQ.










                                                                                                                [3]


                                                                                 Chapter 3 Coordinate Geometry   65







         Chapter 3.indd   65                                                                                     15/03/2022   10:28 AM
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