Question

Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).

The midpoint is

(Simplify your answer. Type an ordered pair)

Answer 1

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') =

`(x' , y') = ( \frac{ {x}^(1) + {x}^(2) }{2} , \frac{{y}^(1) + {y}^(2) }{2} )`

So using the formula & putting the values above

`( ( - 1 - 3)/(2) , ( - 2 + 13)/(2) )`

`= > ( ( - 4)/(2) , (11)/(2) )`

`= > ( - 2 , 5.5)`

So the mid - point is (-2 , 5.5)