Question

Write the coordinates of the midpoint of the line segment joining the points

(6, 2) and (4, 4)​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Coordinate\:of\:p=(5,3)}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Coordinate \: of \: A= (6,2) \\ \\ \tt: \implies Coordinate \: of \: B = (4,4) \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Coordinate \: of \: mid \: point =?$

• According to given question :

$\tt \circ \: Let \: mid \: point \: be \: P \\ \\ \tt \circ \: Coordinate \: of \: P= (x,y) \\ \\ \bold{As \: we \: know \: that} \: \tt: \implies x = \frac{ x_{1} + x_{2} }{2} \\ \\ \tt: \implies x = \frac{6 + 4}{2} \\ \\ \tt: \implies x = \frac{10}{2} \\ \\ \green{\tt: \implies x =5} \\ \\ \bold{Similarly : } \\ \tt: \implies y = \frac{ y_{1} + y_{2} }{2} \\ \\ \tt: \implies y = \frac{2 + 4}{2} \\ \\ \tt: \implies y = \frac{6}{2} \\ \\ \green{\tt: \implies y = 3} \\ \\ \green{\tt \therefore Coordinate \: of \: mid \: point \: is \: (5,3)}$

Answer 2

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\sf{The \ Co-ordinates \ of \ midpoint \ are \ (5,3)}$

$\sf\orange{Given:}$

$\sf{\implies{Co-ordinates \ of \ points \ of \ line}}$

$\sf{are \ (6,2) \ and \ (4,4)}$

$\sf\pink{To \ find:}$

$\sf{Co-ordinates \ of \ midpoint.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{Here, \ x1=6, \ y1=2, \ x2=4, \ y2=4}$

$\sf{By \ midpoint \ formula}$

$\sf{Co-ordinates \ of \ midpoint (x,y)}$

$\sf{=(\frac{x1+x2}{2}),(\frac{y1+y2}{2})}$

$\sf{=\frac{6+4}{2},\frac{2+4}{2}}$

$\sf{=\frac{10}{2},\frac{6}{2}}$

$\sf{=5,3}$

$\sf\purple{\tt{\therefore{The \ Co-ordinates \ of \ midpoint}}}$

$\sf\purple{\tt{are \ (5,3)}}$