Question

Find the coordinates of the midpoint of the segment with the given endpoints. $C(-5,3), D(12 ; 8)$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Determine the midpoint of the given coordinates.

$\begin{align*} \text {M} & = \left ( \dfrac{x_{1} + x_{2}}{2} , \dfrac {y_{1} + y_{2}}{2} \right) && {\text {midpoint formula}} \\ & = \left( \dfrac {-5 + 12}{2} + \dfrac{3 + 8}{2} \right) && {\text {substitute for the given values}} \\ & = \left ( \dfrac {7}{2} , \dfrac {11}{2} \right) && {\text {simplify the numerators}} \\ & = \left ( \dfrac{7}{2}, \dfrac{11}{2} \right) && {\text {midpoint of the segment}} \end{align*}$

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