Question 198239
First, we need to find the midpoint.



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]=(-3+9)/2=6/2=3}}}



So the x-coordinate of the midpoint is {{{x=3}}}



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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]=(-2+-7)/2=-9/2}}}



So the y-coordinate of the midpoint is {{{y=-9/2}}}



So the midpoint between the points *[Tex \LARGE \left(-3,-2\right)] and *[Tex \LARGE \left(9,-7\right)] is *[Tex \LARGE \left(3,-\frac{9}{2}\right)]



Take note that you can write the point *[Tex \LARGE \left(3,-\frac{9}{2}\right)] as (3, -4.5) 



If you plot (3, -4.5), you'll find that it lies in the 4th quadrant (the lower right quadrant)