Question

find the coordinates of the midpoint of the line segment joining the points (2,1) and (4,7)

Answer 1

(2+4/2 , 1+7/2)
(6/2 , 8/2)
ans: (3 , 4)

Answer 2

Answer:

$Mid-point =(3,4)$

Step-by-step explanation:

We know that ,

The mid point of the line segment joining the points

$(x_{1},y_{1})\: and \: (x_{2},y_{2})\:is \\ \left(\frac{x_{1}+x_{2}}{2},\frac{x_{1}+x_{2}}{2}\right)$

$Let\: A(x_{1},y_{1})=(2,1)\:\\B(x_{2},y_{2})=(4,7)$

$Mid-point \:of \:AB\\ = \left(\frac{2+4}{2},\frac{1+7}{2}\right)\\=\left(\frac{6}{2},\frac{8}{2}\right)\\=( 3,4)$

Therefore,

$Mid-point \:of \:AB =(3,4)$

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