Question

What is the midpoint of the segment shown below? (-2,4) (6,-4)

Answer 1

solution :

let's assume the Coordinates be x and y

By using Section formula,

$\boxed{ x = (\dfrac{x_2 + x_1}{2} )}$

• $x = \dfrac{ - 2 + 6}{2}$

• $x = \dfrac{4}{2}$

• $x = 2$

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$\boxed {y = (\dfrac{y_2 + y_1}{2} )}$

• $\dfrac{ - 4 + 4}{2}$

• $\dfrac{0}{4}$

• $0$

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$\mathrm{Therefore \:\:the\:\: Coordinates\:\: of \:\:the\;\; mid-point\;\: of \;\;the\:\: given\:\: segment\:\; is}$

$\huge \boxed{(2,0)}$

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$\mathrm{ \#TeeNForeveR} \: ☃$