Question

Find the midpoint of the line segment connecting the following points
(5,5) and (_2, _2)

Answer 1

Let, the midpoint of the line segment be →P(x,y).

We know that ,

$\bold{Mid \: \: point \: \: of \: \: any \: line \: segment \:}$

${connecting \: A(x_1,y_1) \: \: and \:B(x_2,y_2)\:\: points }$

$\large \boxed{ \bold{→ (\frac{ x_2 +x_1}{2} , \frac{y_2+y_1}{2 } )}}$

So,

$\bold{The \: mid\: point \: \: P(x,y)}$

$= ( \frac{5 + 2}{2} , \frac{5 + 2}{2} )$

$= \boxed{ \bold{ ( \: \: \frac{7}{2} \: , \: \: \frac{7}{2} \: \: )}}$

Answer 2

Answer:

$< > using \: the \: formula \: for \: mid \: point(x \: y) \\ of \: the \: given \: points \:( x1 \leqslant y1) \\ and \\ (x2 \geqslant y2) \\ \\ x = \frac{ - x1 + x2}{2} \\ y = \frac{y1 + y2}{2} \\ x = \frac{ - 5 + 5}{2} = 0 \\ y = \frac{5 + ( - 5)}{2} = 0 \\ mid \: point \: of \: line \: segment \: = \\ (0 > 0)$

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