if the midpoint of the line segment joining the points


questioned by administrator @ in Mathematics viewed by 131 People


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)

Answered by administrator @



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

( \frac{ - 1 - 3}{2}  , \frac{ - 2 + 13}{2} )

 =  > (  \frac{ - 4}{2} ,  \frac{11}{2} )

 =  > ( - 2 ,  5.5)

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


Do you know the better answer?

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