Respuesta :

MellyP
The distance from -9 to 7 = 16 units. 
Distance from -4 to 8 = 12 units.

Divide the two values and add them to the x and y values of the first set and the result will be our midpoint.

16/2 = 8.   8 + -9 = -1
12/2 = 6.   6 + -4 = 2

So our midpoint will be (-1,2)

Answer:

( -1 , 2 ) is the mid point of the line segment JK.

Step-by-step explanation:

Given coordinates of the points are J( -9 , -4 ) and K( 7 , 8 )

We have to find Mid point of Line segment JK.

Coordinates of mid points are given by = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

here [tex](x_1,y_1)=(-9,-4)\:\:and\:\:(x_1,y_2)=(7,8)[/tex]

So, Coordinates of the Mid Point of JK = [tex](\frac{-9+7}{2},\frac{-4+8}{2})[/tex]

                                                                = [tex](\frac{-2}{2},\frac{4}{2})[/tex]

                                                                = [tex](-1,2)[/tex]

Therefore, ( -1 , 2 ) is the mid point of the line segment JK.

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