Question

What is the distance points for (2,-2) and (0,-9)

Answer 1

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

         Two points are (2,-2) and (0,-9)

Step:1

         By graphical method,

         For two points (2,-2) and  (0,-9)

                  First point (2,-2)

                             The values of x=2 and y=-9 noted in the graph

                  Second point (0,-9)

                              The values of x=0 and y=-9 noted in the graph

                  Now join the two points, measure the distance between the two points,

                   Distance between points are 7.3 units.

                                          ( OR )

Step:1

        By formula method,

              Distance =   $\sqrt{(x_{2}- x_{2}) ^{2}+ (y_{2}-y_{1}) ^{2} }$

       Where,

               ( 2,-2) are ($x_{1},y_{1}$)

               (0,-9) are ($x_{2},y_{2}$)

       From the values,

                             = $\sqrt{(0- 2) ^{2}+ (-9+2) ^{2} }$

                            =  $\sqrt{(- 2) ^{2}+ (-7) ^{2} }$

                            = $\sqrt{4+49 }$

                            = $\sqrt{53}$

                            = 7.280

                            ≅ 7.3

            Distance = 7.3

Result:

           The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.