SOLUTION: In a coordinate system, points A(-2,3) and B(6,-1) have a mid point of X what is the midpoint between A and x

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Question 1011246: In a coordinate system, points A(-2,3) and B(6,-1) have a mid point of X what is the midpoint between A and x
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Midpoint


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-2, 3), we can say (x1, y1) = (-2, 3)
So ,


Since the second point is (6, -1), we can also say (x2, y2) = (6, -1)
So ,


Put this all together to get: , , , and

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Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2


X Coordinate of Midpoint =


X Coordinate of Midpoint =


X Coordinate of Midpoint =


X Coordinate of Midpoint =



So the x coordinate of the midpoint is 2


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Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


So the y coordinate of the midpoint is 1



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Summary:


The midpoint of the segment joining the two points (-2, 3) and (6, -1) is (2, 1).


So the answer is (2, 1)





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