Page 158 - Mathematics
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Thus, the y-intercept is (0, –2).
                For x-intercept, y =  0. It implies that
                                2x + 60=
                                       x = − 3

                Thus, the x-intercept is (–3, 0).
                Draw a straight line passing through the x and y-intercepts to obtain the graph

                of the given equation as shown in the following figure.

                                                        y
                                                         3
    Tanzania Institute of Education
                                                         2

                                                         1

                                           A(-3, 0)
                                   -4   -3   -2    -1    0     1     x

                                                       -1
                                      2x + 3y + 6 = 0
                                                           B(0, -2)
                                                       -2

                                                       -3





                Example 6.29

                Use x and y-intercepts to sketch the graph of  2x−  +  5y =  10.

                Solution
                Given the equation  2x−  +  5y =  10.
                For y-intercept, set  x = 0. It implies that,

                                                  y = 10
                                     5y =

    Mathematics Form One  Thus, the y-intercept is (0, –2).
                                       2
                                    0. It implies that,
                For x-intercept,  y =


                                    10
                               2x−
                                  =

                                     5
                                        x = −
                Thus, the x-intercept is  (–5, 0).
                                                 152




                                                                                        25/10/2024   09:52:01
   Mathematics form 1.indd   152                                                        25/10/2024   09:52:01
   Mathematics form 1.indd   152
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