SOLUTION: in which quadrant will the midpoint of the segment having endpoints at (-3,-2) and (9,-7)lie ?

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Question 198239: in which quadrant will the midpoint of the segment having endpoints at (-3,-2) and (9,-7)lie ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, we need to find the midpoint.


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


X-Coordinate of the Midpoint:




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%5Bmid%5D=%28-3%2B9%29%2F2=6%2F2=3


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


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Y-Coordinate of the Midpoint:




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%5Bmid%5D=%28-2%2B-7%29%2F2=-9%2F2


So the y-coordinate of the midpoint is y=-9%2F2


So the midpoint between the points and is


Take note that you can write the point as (3, -4.5)


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