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

Algebra ->  Coordinate-system -> 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      Log On


   

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) About Me  (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 x%5B1%5D+=+-2, y%5B1%5D+=+3


Since the second point is (6, -1), we can also say (x2, y2) = (6, -1)
So x%5B2%5D+=+6, y%5B2%5D+=+-1


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+3, x%5B2%5D+=+6, and y%5B2%5D+=+-1

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




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 = %28x%5B1%5D%2Bx%5B2%5D%29%2F2


X Coordinate of Midpoint = %28-2%2B6%29%2F2


X Coordinate of Midpoint = 4%2F2


X Coordinate of Midpoint = 2



So the x coordinate of the midpoint is 2


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


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 = %28y%5B1%5D%2By%5B2%5D%29%2F2


Y Coordinate of Midpoint = %283%2B-1%29%2F2


Y Coordinate of Midpoint = 2%2F2


Y Coordinate of Midpoint = 1


So the y coordinate of the midpoint is 1



===============================================================================


Summary:


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


So the answer is (2, 1)