Page 168 - Mathematics
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2.   In each of the following pairs of points, state whether the line represented
                    by the points is vertical, horizontal, or slanted.
                    (a) (1,0),(0,0)                     (e) (2, 8), ( 2, 8)−

                                                            3    7    
                    (b) (1, 2), (2, 1)                  (f)    ,1 ,  , 4 
                                                                
                                                            4    3    
                    (c) (3, − 2), (3, 5)                (g) (0.5, 1), (0.5,−  −  2)
                    (d)   ( 4, 2), ( 4, 1)−  −  −                  (h) (4,2), (0, 3)−


               3.   Draw a straight line represented by each of the following pair of points
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                    and state its gradient.
                    (a) (0,0),(1, 3)                             (d) (7, 5), (2, 3)

                    (b) ( 1, 1), (8, 8)−−                        (e) (2.5, 3), (6.5,−  −  4)
                    (c) (0, 1),  (1, 0)                           (f) (3, 6), (6, 3)
               4.   Draw a graph of each of the following equations.

                      (a)  x +  6y =  5                            (d)  –x  y = 1

                                 8
                    (b) 5x =  3y +                           (e)  – 4x +  3y =  10
                       (c)  4x +  2y =  28                        (f) 5x y−=  4


               5.   Re-write each of the following equations in the form y =  mx c+ and
                    determine their gradients and y-intercepts.
                       (a) 4x +=                              (d) 3x +  4y =  23
                               8
                            y
                                                                    40
                                2
                            x
                       (b) 6y = +                             (e) 3x + 4y +=
                       (c) 2x y−=                              (f) 3y +  4x +=
                                2
                                                                    90
               6.   Draw the graph of each of the following equations.
                       (a)  x −  2y =  3y =  4                              (c) 5x = 3y + 2 8

                                                                x
                                                        (d) 6y = +
                                 9
                       (b)  2x +
    Mathematics Form One          (a) Passing through the point (2, 1) and with gradient −  1
               7.  Draw straight lines from each of the following information.
                                                                         2
                       (b) Passing through (3, 1)  with the y-intercept (0, 3)

                       (c) Passing through the point (1, 4) with the gradient  4−
                                                                                 1 
                                                                             
                       (d) Passing through the point ( 2, 0)−
                                                                             
                                                                             
                                                 162    and the y-intercept is  0,  3   




                                                                                        25/10/2024   09:52:06
   Mathematics form 1.indd   162                                                        25/10/2024   09:52:06
   Mathematics form 1.indd   162
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