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)   (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:





So the x-coordinate of the midpoint is


-----------------------------------------------------


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:





So the y-coordinate of the midpoint is


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)

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