A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.
Let
x(1) = -1
y(1) = -2
x(2) = -3
y(2) = 13
So according to Section formula , cordinate of the mid - point (x' , y') =
[tex](x' , y') = ( \frac{ {x}^{1} + {x}^{2} }{2} , \frac{{y}^{1} + {y}^{2} }{2} )[/tex]
So using the formula & putting the values above
[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]
[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]
[tex] = > ( - 2 , 5.5)[/tex]
So the mid - point is (-2 , 5.5)
