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Exercise 6.5

             1.  Find the equation of the line using the given point and gradient:
                                                                        3
                 (a)   (2, 1), gradient 2                 (d)  ( 2,−  −  4), gradient
                                                                        2
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                                        2
                 (b)  (0, 5), gradient −              (e)   (0, 0), gradient − 3
                 (c)   (1, − 3), gradient 3
             2.  Find the equation of the line using the given information:
                 (a) y-intercept = (0, 2), gradient = 1

                 (b) -intercepty  =  (0, 16), gradient−  =  4
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                                                   3
                 (c) -intercepty  =  (0, 7), gradient =
                                                   4
                 (d)          y                       (f)               y

                               (0, 2), gradient=-1
                                                               (-4, 4)


                                             x
                               0
                                                                                      x
                                                                         0

                                                                           (1, -3)


                               y
                 (e)                (2, 6)            (g)            y
                                                              (-2, 2)         (4, 2)

                                (0, 3)                                               x
                                                                      0
                                           x
                               0


    Mathematics Form One  3.   In each of the following conditions, find the equation of the straight line in



                 the indicated form:

                                                                                  mx +
                                                                                        . c
                 (a)  Passing through the point (3, 5) with gradient 2 in the form  y =

                 (b)   passing through the point (4, 7) having a gradient of  3,−  in the form
                                   0
                              +=
                       ax by c+

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                                                                                        25/09/2025   15:01:47
   Mathematics form 1.indd   146
   Mathematics form 1.indd   146                                                        25/09/2025   15:01:47
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