Question 88028
In order to find the midpoint, we need to average each corresponding coordinate. For instance, if we have the first coordinate of -7 for the first point and 1 for the second point, we simply average them like this:


Average of the first coordinate: {{{(-7+1)/2=(-6)/2=-3}}}



So lets find the averages between the two points

To find *[Tex \Large  \textrm{x_{mid}}], average the x-coordinates between the two points

{{{x[mid]=(-7+1)/2=(-6)/2=-3}}}



So the x-coordinate of the midpoint is -3 (i.e. x=-3)

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To find *[Tex \Large  \textrm{y_{mid}}], average the y-coordinates between the two points

{{{y[mid]=(3+5)/2=(8)/2=4}}}



So the y-coordinate of the midpoint is 4 (i.e. y=4)

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To find *[Tex \Large  \textrm{z_{mid}}], average the z-coordinates between the two points

{{{z[mid]=(2+1)/2=(3)/2=1.5}}}



So the z-coordinate of the midpoint is 1.5 (i.e. z=1.5)

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Since the coordinates of the midpoint are x=-3, y=4, z=1.5, this means the midpoint is (-3,4,1.5)