Question

Calculate the distance between the points L = (1, -3) and P = (8,– 7) in the coordinate plane.
Give an exact answer (not a decimal approximation)
Distance:

Answer 1

The exact distance between two points L=(1,-3) and P=(8,-7)is 8.062 units, is obtained by formula and graphical method.

Step-by-step explanation:

The given is,

         Two points are L=(1,-3) and P=(8,-7)

Step:1

         By graphical method,

                  First point L (1,-3)

                             The values of x=1 and y=-3 noted in the graph

                 Second point P(8, -7)

                             The values of x=8 and y=-7 noted in the graph

         Now join the points L and P, in the graph,

                           Distance between two points are 8.1 units

                                            ( OR )

Step:2

         By formula method,

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

        Where,

                 L (1,-3) are ($x_{1}, y_{1}$)

                 P (8,-7) are ($x_{2}, y_{2}$)

        Substitute the values,

                                  = $\sqrt{(8-1) ^{2}+ (-7+3 ) ^{2} }$

                                  = $\sqrt{(7) ^{2}+ (-4 ) ^{2} }$

                                  = $\sqrt{49+ 16 }$

                                  = $\sqrt{65}$

                 Distance = 8.06225 units

Result:

           The exact distance between two points L=(1,-3) and P=(8,-7)is 8.062 units, is obtained by formula and graphical method.