Question 339172

To find the midpoint, first we need to find the individual coordinates of the midpoint.

<h4>X-Coordinate of the Midpoint:</h4>

To find the x-coordinate of the midpoint, simply average the two x-coordinates of the given points by adding them up and dividing that result by 2 like this:

{{{x[mid]=(8+2)/2=10/2=5}}}

So the x-coordinate of the midpoint is {{{x=5}}}

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<h4>Y-Coordinate of the Midpoint:</h4>

To find the y-coordinate of the midpoint, simply average the two y-coordinates of the given points by adding them up and dividing that result by 2 like this:

{{{y[mid]=(14+6)/2=20/2=10}}}

So the y-coordinate of the midpoint is {{{y=10}}}

So the midpoint between the points *[Tex \LARGE \left(8,14\right)] and *[Tex \LARGE \left(2,6\right)] is *[Tex \LARGE \left(5,10\right)]

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Jim