1. Find the coordinates of the midpoint of the line segment joining the points `A(-5,4)` and `B(7,-8)`

Solution:
The given points are `A(-5,4),B(7,-8)`

`:. x_1=-5,y_1=4,x_2=7,y_2=-8`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((-5+7)/2,(4-8)/2)`

`=((2)/2,(-4)/2)`

`=(1,-2)`

Mid point is `(1,-2)`

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2. Find the coordinates of the midpoint of the line segment joining the points `A(2,1)` and `B(1,-3)`

Solution:
The given points are `A(2,1),B(1,-3)`

`:. x_1=2,y_1=1,x_2=1,y_2=-3`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((2+1)/2,(1-3)/2)`

`=((3)/2,(-2)/2)`

`=(3/2,-1)`

Mid point is `(3/2,-1)`

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3. Find the coordinates of the midpoint of the line segment joining the points `A(2,1)` and `B(5,3)`

Solution:
The given points are `A(2,1),B(5,3)`

`:. x_1=2,y_1=1,x_2=5,y_2=3`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((2+5)/2,(1+3)/2)`

`=((7)/2,(4)/2)`

`=(7/2,2)`

Mid point is `(7/2,2)`

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4. Find the coordinates of the midpoint of the line segment joining the points `A(3,-5)` and `B(1,1)`

Solution:
The given points are `A(3,-5),B(1,1)`

`:. x_1=3,y_1=-5,x_2=1,y_2=1`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((3+1)/2,(-5+1)/2)`

`=((4)/2,(-4)/2)`

`=(2,-2)`

Mid point is `(2,-2)`

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5. Find the coordinates of the midpoint of the line segment joining the points `A(1,-1)` and `B(-5,-3)`

Solution:
The given points are `A(1,-1),B(-5,-3)`

`:. x_1=1,y_1=-1,x_2=-5,y_2=-3`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((1-5)/2,(-1-3)/2)`

`=((-4)/2,(-4)/2)`

`=(-2,-2)`

Mid point is `(-2,-2)`

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6. Find the coordinates of the midpoint of the line segment joining the points `A(-7,-3)` and `B(5,3)`

Solution:
The given points are `A(-7,-3),B(5,3)`

`:. x_1=-7,y_1=-3,x_2=5,y_2=3`

Coordinates of mid-point `=((x_1+x_2)/2,(y_1+y_2)/2)`

`=((-7+5)/2,(-3+3)/2)`

`=((-2)/2,(0)/2)`

`=(-1,0)`

Mid point is `(-1,0)`